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PCI 
• EVERYDAY- 
NUMBER-STORIES 

•LONCAN-SERL-ELLEDGE- 




WORLD • BOOK • COMPANY 



?^artrarU CoUegc Eibrart 




LIBRARY OF THE 

DEPARTMENT OF EDUCATION 



COLLECTION OF TEXT-BOOKS 

CONTRIBUTBD BY TMB PUBLISHERS 



TRANSFERRED 

TO 

HARVARD COLLEGE 
LIBRARY 



EVERYDAY 
NUMBER STORIES 



BY 

GEORGE BAKER LONGAN 

LATE ASSISTANT SUPERINTENDENT OF SCHOOLS, KANSAS CITY, MISSOURI 

EMMA SERL 

TEACHER IN THE NORMAL TRAINING SCHOOL, KANSAS CITY, MISSOURI 

FLORENCE ELLEDGE 

TEACHER IN THE HUMBOLDT SCHOOL, KANSAS CITY, MISSOURI 



ILLUSTRATED BT II. WOOD 




YONKERS-ON-HUDSON, NEW YORK 

WORLD BOOK COMPANY 
191S 



V 



NEW-WORLD ARITHMETICS 

Embodying fhe Longan method, which is 

exemplified in fhe arithmetic work 

of Kansas City public schools 

EVERYDAY NUMBER STORIES 

By Geocse B. Longan, Emma Serl, and Florence EUedce 

Cloth. 136 pages. Illustrated. 
Through incidents and activities natural to chil- 
dren, teaches numbers from i to 100. 

ELEMENTARY ARITHMETIC 

By George B. Longan. Edited by J. M. Greenwood 

Cloth. 270 pages. Illustrated. 
The fundamental processes taught concretely, in 
exercises based on actual measurement work. 

COMMON SCHOOL ARITHMETIC 

By Joseph H. Marldey. Edited by J. M. Greenwood 

Cloth. 4J3 pages. IllustraUd. 
Logical development of essential arithmetical 
facts and principles, through exercises and prob- 
lems that fit the experience and needs of the pupil. 

HARVARn UNIVERSITY 

DEPT.OF EDUCATION LIBRARY 

'.'-T Of IHii KUbLlSHER 



JUL -6 1916 



h-..>..f.U C01.LEQE liaPA«, 
TRANSFERRED FROM T„7 
tlBRARy OF THF 



Copyright^ IQZ4, 191 5* h World Book Company 
All rights reserved NWAENS — 2 



SUGGESTIONS TO TEACHERS 

Suggestions for Using the Dialogues and the Pictures. 
Two children may be selected to impersonate Kate and Frank, and 
the dialogue may be read in the usual way. Have the remaining 
children follow the reading and decide if the answers are correctly 
given. Children enjoy this, and several different pairs of children 
may be selected to repeat the reading. In the second and sub- 
sequent readings, different numbers may be used so that the 
children will be kept on the alert. Or, the girls of the class may 
represent Kate and the boys Frank, giving the answer called for 
when all are ready. Another way is to disregard the dialogue 
form, and have the sentences or paragraphs read in turn, all pay- 
ing strict attention in order to note if correct answers are supplied 
in the elliptical sentences. Supplement the lessons given by 
frequent use of measures suggested. 

Have the pictures carefully studied. Many of them are suitable 
for oral language lessons. Indeed, the entire book, if wisely used, 
will be of great assistance in reading and language, as well as in 
arithmetic. 

Page 9. Teach the following signs: 
+ is read and or plus, 
= is read are. 

i is read how many or what, 
— is read less. 

Page 10. Teach that i nickel equals 5 c. 

Page 14. Show by actual measurement that 2 pt. equal i qt. 
and I pt. equals \ qt. Teach the abbreviation pt. for pint or 
pints, and qt. for quart or quarts. Teach the symbol J. 

Page 17. Teach that the sign X is read times. 

Page 18. Show by measurement that i yard equals 3 feet, 
I foot equals \ yard, and 2 feet equal f yardf. Teach the abbre- 
viation ft. for foot or feet, and yd. for yard or yards. Teach the 
symbols \ and f . 

Page 23. Teach that the sign -f- is read divided by. 

Page 34. Show by measures that i bushel equals 4 pecks. Show 
parts of a bushel. Teach the abbreviation bu. for bushel or 
bushels, and pk. for peck or pecks. Teach the symbols i, f , f . 

[3] 



SUGGESTIONS TO TEACHERS 

Page 40. Show by measures that i gallon equals 4 quarts. Show 
parts of a gallon. Teach the abbreviation gal. for gallon or gal- 
lons, and qt. for quart or quarts. 

Page 43. Columns in addition should be added either up or 
down rapidly. Use similar pages for both oral and written work. 

Page 44. Teach the abbreviation hr. for hour or hours, and da. 
for day or days. 

Page 47. Teach the symbols y, f , etc., and the abbreviation c. 
for cents or cent. 

Page 51. Teach the symbols ^y ^y etc. Teach the abbrevia- 
tion wk. for week or weeks. 

Page 52. Teach that the term units is the same as ones. 

Page 57. Teach the abbreviation mo. for month or months. 

Page 62. Teach that 12 things make i dozen. 

Page 68. Show by measures that i peck equals 8 quarts. Teach 
the symbols |, f , etc. 

Page 72. Show by measures that i gallon equals 8 pints. 

Page 74. Show by use of scales that i pound equals 16 ounces. 
Teach the abbreviation lb. for pound or pounds, oz. for ounce or 
ounces. 

Page 82. Illustrate by drawings on the board to show size of 
flower beds. Draw a square yard and divide it into square feet. 

Page 83. Teach the abbreviation sq. ft. for square foot or 
square feet, and sq. yd. for square yard or square yards. Teach 
the symbols ^, f , etc. 

Page 99. Teach the symbol yV- 

Page 106. Show by measurement that i foot equals 12 inches. 
Teach the abbreviation in. for inch or inches. Teach the symbols 
tV, A> etc. 

Page 129. Teach the carrying process in addition. 

Page 131. Teach the borrowing process in subtraction. 

[4] 




[5] 



NUMBERS THROUGH 10 




^^^£^^ 



^^' 



Kate. Speckle has some little chickens. Let us 
count them. 

Frank. I can not count them. They run about 
so fast. 

Kate. You must count fast, then. One — two — 
three — four — five — six — seven — eight — nine 
— ten. She has ten little chicks. 

Frank. There are three black ones and all the others 
are white. 

Kate. There are white ones. 

Frank. Four little chicks stay close to the mother. 

chicks run away from her. 

[6] 



NUMBERS THROUGH 10 
5 chicks and 3 chicks are chicks. 




6 frogs and 2 frogs are frogs. 



4 birds and 4 birds are birds 



7 bears and 1 bear are bears. 




5 dolls and 2 dolls are dolls. 




5 + 3 = 






6 + 2 = 




4 + 4 = 




7+1 = 




5 + 2 = 




[7] 



NUMBERS THROUGH 10 
Here are some number stories: 




Four chicks were under a big leaf. It began to rain. 
Three more chicks ran under the leaf. How many 
chicks were under the leaf then? 4 + 3 = 




The sun came out again. Speckle called the chicks: 
"Cluck, cluck!" Six chicks ran to her. How many 
chicks stayed under the big leaf.? 7 - 6 = 




Eight chicks were in the yard. Two chicks saw a 
hole in the fence and went through it. How many 
chicks were left in the yard ? 8 - 2 = 

[8] 



NUMBERS THROUGH 10 




5 chicks + 5 chicks = ? chicks. 

4 chicks + ? chicks = 10 chicks. 

3 chicks + .? chicks = 10 chicks. 

10 chicks - 4 chicks = .? chicks. 

8 chicks — 5 chicks = .? chicks. 

Here is a number story that Kate made for Frank 
about 10-2: 

Speckle had 10 little chicks. 2 ran away. How 
many little chicks stayed close to their mother.? 

Here is a number story that Frank made for Kate 
about 5 + 5: 

5 little chicks are drinking water and 5 little chicks 
are eating meal. How many little chicks are there 
in all? 

Here is a number story about 6 + 4: 

Speckle has 6 black chicks and 4 white chicks. 
How many chicks has she.*^ 

[9] 



NUMBERS THROUGH 11 




-^^' 



Frank. How much money have you, Kate? 

Kate. I have one nickel and six cents. That 
makes cents. How much have you? 

Frank. I have one nickel and four cents. That 
makes cents. 

Kate. I have cents more than you have. I 

will give you one cent. Then you will have 
cents and I will have cents. 

Frank. I am going to spend three cents for an 
orange. Ten cents less three cents are cents. 

Kate. I will spend five cents for candy. Ten cents 

less five cents are cents. 

[10] 



NUMBERS THROUGH 11 



Make number stories about: 
6 cents + 5 cents 
4 apples + 5 apples 
8 bananas + 3 bananas 
6 dolls + 4 dolls 

Read and give answers: 

10 -5 = 
10 -4 = 
10 -3 = 
10 -7 = 
10 -8 = 
10 -6 = 
10 - 2 = 
10 - 9 = 



Add: 



6 
5 



7 
3 



9 
2 



8 
2 



11 cents — 2 cents 
1 1 oranges — 4 oranges 
11 plums - 6 plums 
1 1 tops - 8 tops 



3 
5 

7 
9 
8 
4 
6 
2 



6 
4 



7 
4 



4 
3 



5 

4 



5 
6 



3 

7 



3 

8 
[11] 



4 

7 



4 
6 



3 
6 



NUMBERS THROUGH 12 





1 n 
2n 
1 n 
1 n 
1 n 
1 n 
2n 
2n 



ckel 

ckels 

ckel 

ckel 

ckel 

ckel 

ckels 

ckels 



12 cents 
12 cents 



+ 2 cents are 
+ 2 cents are 
+ 3 cents are 
+ 6 cents are 
+ 7 cents are 
+ 4 cents are 

— 4 cents are 

— 8 cents are 

— 1 nickel are 

— 2 nickels are 



cents, 
cents, 
cents, 
cents, 
cents, 
cents, 
cents, 
cents, 
cents, 
cents. 



Number Stories 

Frank had 12 cents. He spent 2 cents for a top 

and 3 cents for a little flag. He had cents 

left. 

Kate had 11 cents. She spent 5 cents for a doll's 

hat and 2 cents for candy. She had cents left. 

[12] 



NUMBERS THROUGH 12 



6 


+ 


5 = 




4 


+ 


5 


= 




7 +4 - 


6 


+ 


4 = 




4 


+ 


7 


= 




7 +3 = 


6 


+ 


2 = 




4 


+ 


8 


= 




7 +5 = 


6 


+ 


3 = 




4 


+ 


6 


= 




9 +3 = 


6 


+ 


6 = 




4 


+ 


4 


= 




9 +2 = 


5 


+ 


4 = 




4 


+ 


3 


= 




8 +3 = 


5 


+ 


5 = 




3 


+ 


7 


= 




8 +2 = 


5 


+ 


7 = 




3 


+ 


8 


= 




8 +4 = 


5 


+ 


6 = 




3 


+ 


6 


= 




10 +1 = 


5 


+ 


3 = 




3 


+ 


9 


= 




10 +2 = 


12 


— 


4 = 




12 


— 


5 


= 




11 -4 = 


12 


— 


6 = 




12 


— 


7 


= 




11 -6 = 


12 


— 


10 = 




12 


— 


9 


= 




11 -5 = 


12 


— 


2 = 




12 


— 


11 


= 




11 -9 = 


12 


— 


3 = 




12 


— 


8 


- 




11 -3 = 


Subtract : 


















9 




8 


5 




( 


3 




7 


9 9 


5 




6 


3 




2 




4 


6' 8 


11 




10 


12 




11 




12 


10 12 


9 




8 


4 




3 




5 


6 7 



[13] 



NUMBERS THROUGH 12 — HALVES 




Frank. See the measures that Uncle Will left here. 

Kate. This measure holds one quart of water. 

Frank. This measure holds just one half as much. 

It holds one pint. In one quart there are 

pints. 

Kate. I will put one quart of water into this pail. 
Now there are two pints in it. 

Frank. I will put one half quart into it. Now 

there are pints of water in the pail. That 

makes a whole quart and half a quart. 

Kate. Now there are quarts of water in the 

pail. 

Frank. Let us fill the pail half full. 

[14] 



NUMBERS THROUGH 12 — HALVES 

Kate. There are now six pints of water in it and it 
is half full. 

Frank. There are quarts in the pail. 

Kate. If I put in six pints more there will be 

pints. 

Frank. There will be quarts of water in the 

pail when it is full. 



12 pints less 6 pints are 
6 pints and 6 pints are 

i of 12 pints is 

i of 10 pints is 

i of 8 pints is 

1 of 6 pints is 

4 of 4 pints is 



pints, 
pints. 



pints, 
pints, 
pints, 
pints, 
pints. 



1 qt. = ? pt. 


2pt. 


= ?qt 


U qt. = ? pt. 


4 pt. 


= ?qt 


3 qt. = ? pt. 


7pt. 


= .?qt 


4i qt. = ? pt. 


9 pt. 


= ?qt 


51 qt. = ? pt. 


10 pt. 


= ?qt 


6 qt. = ? pt. 


6 pt. 


= ?qt 



[15] 



NUMBERS THROUGH 13 




Here are some number stories about Kate and 
Frank: 

Kate bought a dozen oranges. She gave away 4 
of them. She had oranges left. 

Frank had 8 pencils. He lost i of them. He 
lost pencils. 

Frank had a dime. He spent ^ of it for candy. 
He had cents left. 

There were 6 cups on the table. Kate took away 
^ of them. She took away cups. 

Kate had a ribbon 4 yards long. She cut off 4 
of it. She cut off yards. 

Frank had 12 marbles. He gave Kate i of 

them. He kept marbles. 

[16] 



NUMBERS THROUGH 13 



Frank and Kate picked 6i quarts of berries. 
They picked pints of berries. 

Frank had 7 dollars and Kate had 6 dollars. 
Together they had dollars. 

Kate drank a pint of milk each day. In 6 days 



she drank 


quarts of milk. 












6 + ? = 13 
5 + ? - 13 
4 + ? = 13 


7 + ? = 13 
9 + ? = 13 

8 + ? = 13 








13 
13 
13 


-7 = 
-9 =- 
-3 = 


2 ones are 
2x1- 


3 ones 

3 X 


are — 
1 = 





2 twos are — 
2x2 = 

2 threes are 
2x3 = 

2 fours are - 
2x4 = 

2 fives are — 
2x5 = 

2 sixes are — 
2x6 = 



3 twos are - 
3x2 = 

3 threes are 
3x3 = 

3 fours are - 

3x4 = 

4 ones are — 



4x1 = 

4 twos are - 
4x2 = 



C173 



NUMBERS THROUGH 13 — THIRDS 




Kate. I want to buy a new hair-ribbon. One yard 
will be enough, I think. 

Frank. Let me measure it with this foot measure. 
It is just three feet long. In a yard there are 
feet. 

Kate. Then one foot is one third of a yard. 

Frank. Yes, and two thirds of a yard are 

feet. 

Kate. In one yard there are -- 



— thirds of a yard. 

Frank. If the ribbon were two yards long it would 
be feet long. 

Kate. If the ribbon were two and one third yards 

long it would be feet long. 

[18] 



NUMBERS THROUGH 14 





Draw a line 1 


yard long. 






Draw a line i 


yard long. 






Draw a line f 


yard long. 






Draw a line 2 


yards long. 






Draw a lii 


16 21 


yards long. 






i yd. 


= ? ft. 




2 ft. = ?yd. 






tyd. 


= ?ft. 




1 ft. = .? yd. 






1 yd. 


= ? ft. 




12 ft. = ? yd. 






2 yd. 


= ? ft. 




6 ft. = ? yd. 






3 yd. 


= ? ft. 




3 ft. = ? yd. 






4 yd. 


= ? ft. 




9 ft. = ? yd. 




Add: 












4 


5 


4 


7 


6 4 


5 


4 


3 


5 


6 


6 5 


5 


6 


3 


7 


1 


1 3 


4 


2 


3 


5 


2 


4 3 


4 


4 


3 


3 


5 


3 3 


3 


3 


2 


2 


2 


2 1 


4 


2 


2 


2 


2 


2 3 


2 


2 


3 


2 


2 


3 4 


1 








[19 3 





NUMBERS THROUGH 14 — THIRDS 




Frank. Look at my new kite. See what a long 
tail it has. 

Kate. How long do you think the tail is? 

Frank. Let us measure it. Three feet and three 

feet and one foot are feet. It is feet 

long. 

Kate. Let us measure it in yards. One yard and 

one yard and one third of a yard are 

yards. It is yards long. 

Frank. I don't think that is long enough. I am 
going to make it two feet longer. It is now 
feet long. 

Kate. I think that nine feet is too long. Let us 

cut off one third of it. 

[20] 



NUMBERS THROUGH 14 

Frank. I will divide it into three equal parts. 
Three feet and three feet and three feet are 
nine feet. 

Kate. One third of it will be feet. Now I 

have cut it off. 

Frank. Two thirds are left. The tail of my kite 
is feet long. 

i of 9 feet is feet. 

I of 9 feet are feet. 

i of 6 feet is feet. 

f of 6 feet are feet. 

i of 12 feet is feet. 

I of 12 feet are feet. 

6 + .? = 13 10 + ? = 14 14 - 2 = 
5 + .? = 13 8 + .? = 14 14 - 10 = 
4 + ? = 13 6 + .? = 14 14 - 8 = 
3 + ? = 13 3 + ? = 14 14 - 6 = 

7 + ? = 13 7 + .? = 14 14 - 7 = 
9 + ? = 13 9 + .? = 14 14 - 5 - 

8 + ? = 13 5 + .? = 14 14 - 9 = 

C21] 



NUMBERS THROUGH 15 
Make number stories about : 



7 eggs + 7 eggs 

6 pints + 7 pints 

10 cents + 4 cents 



4 of 14 cents 



10 feet - 4 feet 
8 pints - 4 pints 



iof6 = 


iof 12 = 


iof 8 = 


f of6 = 


f of 12 = 


ioflO = 


^of9 = 


iof 15 = 


4 of 12 = 


|of9 = 


f of 15 = 

Count by 2's to 14. 
Count by 3's to 15. 
Count by 4's to 12. 
Count by 5's to 15. 


iofl4 = 


15 =3 X 


f 12 = 2 X ? 


10 = 2 X ? 


15 =5 X 


? 12 = 6 X ? 


10 = 5 X ? 


14 =2 X 


? 12 = 3 X .? 


9 = 3 X ? 


14 =7 X 


? 12 = 4 X ? 


8 =4 X ? 


Multiply: 






5 3 


5 2 7 


3 4 


3 3 


2 6 2 


5 3 



[22] 



NUMBERS THROUGH 15 

In 2 there are 2 

2 divided by 2 are 

In 4 there are 2 

4 divided by 2 are 

In 6 there are 2 

6 divided by 2 are 

In 8 there are 2 

8 divided by 2 are 

In 10 there are 2 

10 divided by 2 are 

In 12 there are 2 

12 divided by 2 are 

In 14 there are 2 

14 divided by 2 are 



2^2= 15-7= 6+5 = 

4^2= 15-6= 7+8 = 



6 


H-2 = 


15 - 4 = 


8 +7 


8 


-^2 = 


15 - 3 = 


7 +7 


10 


-f-2 = 


15 - 5 = 


10+5 


12 


-h2 = 


15 - 10 = 

[23] 


9 +4 



NUMBERS THROUGH 16 




Frank. Uncle Will gave me some new marbles. 
Kate. How many did he give you? 
Frank. I don't know. Let us count them. 




I have 



Kate. Let us put two in a group. I can make 
groups. 8 times 2 marbles are mar- 
bles. 

Frank. Now I will put four in a group. I can 

make groups. 4 times 4 marbles are 

marbles. 

Kate. Let us put eight in a group. I have made 
groups. 2 times 8 marbles are mar- 



bles. 



[24] 



Add: 



NUMBERS THROUGH 16 

In 16 there are eights. 

In 16 there are fours. 

In 16 there are twos. 

In 15 there are threes. 

In 15 there are fives. 

In 14 there are sevens. 

In 14 there are twos. 

In 12 there are fours. 

In 12 there are threes. 

16 ^2= 2x6 = 

16h-4= 2x7 = 

16h-8= 2x8 = 

15-5-5= 3x4 = 

15 ^3= 3x5 = 

14 ^7= 4x4 = 

14 ^2= 5x3 = 

12^-4= 8x2 = 

8 9 7 6 4 4 5 

4 3 7 4 5 5 5 

4 2 15 6 5 6 

[25] 



NUMBERS THROUGH 16 



Iqt 

2 qt 

3 qt 

4 qt 

5 qt 
6qt 
7qt 
8 qt 





?pt. 




?pt. 


.= 


?pt. 


.= 


?pt. 


• ^ 


?pt. 


.= 


?pt. 


.= 


? pt. 




?pt. 



1yd. 

2 yd. 

3 yd. 

4 yd. 

5 yd. 



= ? ft. 

= ? ft. 

= ? ft. 

= ? ft. 

= ? ft. 



1 nickel = ? c. 

2 nickels = ? c. 

3 nickels = ? c. 



Count by 2's to 16. 
Count by 3's to 15. 
Count. by 4's to 16. 
Count by 5's to 15. 
Count by 2's from.l to 15. 
Count by 3's from 1 to 16. 
Count by 4's from 1 to 13. 

Count backward by 2's from 16. 
Count backward by 2's from 15. 
Count backward by 3's from 15. 
Count backward by 4's from 16. 
Count backward by 4's from 15. 
Count backward by 5's from 15. 
[26] 



NUMBERS THROUGH 16 



Add: 














5 


8 


3 


9 


5 


5 


6 


7 


4 


7 


2 


6 


8 


6 


5 


6 


5 


6 


7 


6 


7 


9 


7 


5 


8 


7 


9 


8 


8 


7 


8 


7 


8 


7 


7 


2 


4 


3 


5 


5 


6 


9 


3 


4 


5 


6 


8 


9 


7 


3 


5 


5 


3 


4 


2 


3 


6 


2 


4 


2 


4 


2 


5 


Subtract: 














16 


16 


16 


15 


12 


11 


14 


8 


7 


10 


4 


6 


4 


5 



16 


16 


10 


12 


13 


13 


14 


9 


6 


4 


7 


6 


8 


7 


15 


14 


13 


15 


15 


14 


13 


8 


8 


2 


9 


7 


6 


9 



[27] 



NUMBERS THROUGH 17 




Kate. Let us play school. I will be the teacher. 

Frank. All right. Give me some hard questions. 

Kate. Here is a hard one. 14 pints are how 
many quarts.? 

Frank. 14 pints are quarts. 

Kate. 17 pints are how many quarts.? 

Frank. That is too hard. I do not know. 

Kate. I do not think that is hard. 16 pints are 
how many quarts .? 

Frank. 16 pints are quarts. 

Kate. Now, 17 pints are how many quarts.? 

[28] 



NUMBERS THROUGH 17 

Frank. 17 pints are quarts. It is easy now. 

Kate. 2 yards are how many feet? 

Frank. 2 yards are feet. 

Kate. 5 yards are how many feet? 

Frank. 5 yards are feet. 

Kate. 16 feet are how many yards? 

Frank. 16 feet are yards. 

Kate. 17 feet are how many yards? 

Frank. 17 feet are yards. 

Kate. You are a good pupil. Now let us go out- 
doors and play. 



17-3 = 


17-7 = 


16-7 = 


17-10 = 


17-6 = 


16-5 = 


17-8 = 


17-9 = 


16-8 = 


17-5 = 


16-9 = 


16 - 10 = 



Make number stories about: 

17 birds - 10 birds 17 frogs - 9 frogs 

16 roses — 4 roses 16 marbles - 8 marbles 

6 sheep + 8 sheep 9 chicks + 8 chicks 

12 rabbits + 4 rabbits 10 plums + 5 plums 

[29] 



NUMBERS THROUGH 18 



2qt 
8qt 
6 qt 
5 qt 
3 qt 
9qt 



= ? 



pt. 



= ?pt. 

= ?pt. 

= ? pt. 

= ?pt. 

= ? pt. 

5 qt. + 5 pt. 

4 qt. + 4 qt. 

5 qt. + 5 qt. 

6 qt. + 3 pt. 
8 qt. - 3 pt. 

18 pt. - 2 qt. 



1 yd 

5 yd 
4 yd 

2 yd 

3 yd 

6 yd 

= ?pt 
= ?pt 
= .? pt 
= ?pt 
= ?pt 
= ?pt 



= ? ft. 
= ?ft. 
= f ft. 
= ? ft. 
= ?ft. 
= ? ft. 



In 18 there are 
In 18 there are 
In 18 there are 
In 18 there are 



twos, 
nines, 
threes, 
sixes. 



18 H- 2 = 
18 4-3 = 
18 4-6 = 
18 4-9 = 



18-9 = 
18-4 = 
18-6 = 

18-12 = 

[30] 



2x8 
2x9 
3x5 
3x6 



NUMBERS THROUGH 18 



Add: 














9 


6 


8 


9 


8 


8 


8 


7 


8 


7 


6 


3 


8 


9 


4 


5 


9 


6 


8 


4 


6 


4 


6 


3 


6 


2 


5 


6 


3 


2 


3 


4 


5 


6 


6 


8 


7 


6 


9 


8 


9 


8 


8 


4 


5 


4 


5 


4 


6 


1 


3 


4 


4 


2 


2 


4 


4 


3 


.5 


7 


6 


7 


7 


4 


6 


5 


7 


4 


7 


8 


5 


2 


6 


2 


6 


2 


3 


4 


5 


6 


6 


5 


5 


4 


3 


2 


3 


6 


5 


3 


5 


4 


4 


4 


3 


5 


5 


4 


2 


1 


3 


3 


2 


3 


2 


10 


14 


14 


11 


13 


15 


10 


7 


4 


3 


5 

[31] 


2 


2 


_6 



NUMBERS THROUGH 19 




Frank. I have a yard measure and a foot rule. 
We can have fun measuring things. 

Kate. Let us measure the rug first. This rug is 5 

feet long and 3 feet wide. It is feet 

around it. 

Frank. This table is 4 feet long and 3 feet wide. 
It is feet around it. 

Kate. This window is 6 feet high and 3 feet wide. 
It is feet around it. 

Frank. This big mirror is 3 feet high and 2 feet 
wide. It is feet around it. 

Kate. This picture is 2 feet wide and 4 feet long. 
It is feet around it. 

Frank. This curtain is 7 feet long and 2 feet wide. 

It is feet around it. 

[32] 



NUMBERS THROUGH 19 



19-6 = 


8 + 8 = 


7+ ? 


= 19 


19-12 = 


8+7 = 


6 + 


?= 19 


19-4- 


9+8 = 


4+ r 


= 19 


19-2 = 


9+9 = 


12+ i 


>= 19 


19-8 = 


10+9 = 


16+ i 


'=19 


19-7 = 


10+7 = 


5+ i 


'= 19 


19-11 = 


8 + 9 = 


14+ . 


'= 19 


19-3 = 


9+7 = 


13 + 


?=19 


19-5 = 


6 + 9 = 


11+ i 


'= 19 


19 - 13 = 


5 + 8 = 


10+ i 


'=19 


19-9 = 


12+7 = 


9+ f 


= 19 


3x6 = 


18-5-6 = 


6+ ; 


'= 18 


3x5 = 


18-5-2 = 


12+ : 


'= 18 


2x9 = 


18^3 = 


10+ i 


'= 18 


6x3 = 


18^9 = 


5+ i 


'= 18 


4x4 = 


16^4 = 


15+ i 


'= 18 


9x2 = 


16 H- 2 = 


3+ i 


'= 18 


2x8 = 


16^8 = 


13+ i 


'= 18 


7x2 = 


15^3 = 


9+ i 


'= 18 


5x3 = 


15-1-5 = 


8+ i 


'= 18 


8x2 = 


14-^7 = 


7+ i 


'= 18 


2x7 = 


14 + 2 = 

[33] 


4+? 


= 18 



NUMBERS THROUGH 20 — FOURTHS 




Frank. Jack Frost came last night and the ground 
is covered with nuts. Let us get all we can and 
sell them. 

Kate. We can fill these peck measures and then 
put the nuts into the bushel basket. It will 
take four pecks to fill it. 

Frank. Now I have one peck of nuts. The bushel 
basket is one fourth full. 

Kate. I will put my peck into the basket. It is 
now half full. In one half bushel there are 

fourths of a bushel. 

[34] 



NUMBERS THROUGH 20 — FOURTHS 

Frank. I have put in another peck of nuts. Now 
the basket is three fourths full. Three fourths 
of a bushel are pecks. 

Kate. I have another peck; now the basket is 

full. In one bushel there are pecks. Let 

us put the nuts into a sack and fill the basket 
again. 

Frank. Here is another peck. One bushel and 
one peck are pecks. 

Kate. Now I will put my peck in. One bushel 
and two pecks are bushels. 

Frank. We shall soon have the basket full again. 
Two bushels of nuts are pecks. 

Kate. If we get three bushels of nuts that will be 
pecks. 

Frank. I hope we can get four bushels. That will 
be pecks of nuts. 

Multiply: 

7 3 2 8 5 3 2 

2 4 4 2 3 6 10 

[35] 



NUMBERS THROUGH 20 



1 bu. = .? pk. 


3 bu. = .? pk. 


^ bu. = ? pk. 


3i bu. = .? pk. 


i bu. = .? pk. 


31 bu. = .? pk. 


-1 bu. = .? pk. 


4 bu. = ? pk. 


U bu. = ? pk. 


4| bu. = .? pk. 


21 bu. = .? pk. 


5 bu. = .? pk. 



Make number stories about: 

5 bushels of nuts - 2| bushels of nuts 
5 yards of ribbon + H yards of ribbon 
2 bushels of apples - 11^ bushels of apples 

In 18 there are nines. 

In 18 there are sixes. 

In 20 there are tens. 

In 20 there are fours. 

In 20 there are fives. 

In 20 there are twos. 

Multiply: 

10 9 6 5 4 4 3 

2 2 3 4 5 4 5 

[36] 



NUMBERS THROUGH 22 

Number Stories 
Kate bought a piece of ribbon 7|^ yards long. She 
cut off 2 yards. yards were left in the piece. 

Kate's father bought a barrel of apples that held 
2| bushels. He bought pecks of apples. 

If a quart of milk costs 8 cents, 21 quarts will 
cost cents. 

Kate paid 2J^ dollars for a pair of shoes and 
3. J dollars for a hat. She spent dollars. 

Frank can walk 4 miles in an hour. In 21 hours 
he can walk miles. 

Kate bought grapes at 8 cents a pound. For 
20 cents she received pounds of grapes. 

Frank bought 11 apples at 2 cents each. He 
paid cents. 

Kate and Frank gathered 4 bushels of nuts. 
They sold \\ bushels. They had bushels left. 

Frank can ride 8 miles in an hour on his 
wheel. How long will it take him to go 20 miles.? 

[37] 



NUMBERS THROUGH 24 



2 quarts are - 

4 quarts are - 

10 quarts are - 

21 pints are - 

11 quarts are - 

23 pints are - 

24 pints are - 

5 yards are - 
16 feet are 

6 yards are - 
20 feet are 

7 yards are - 

22 feet are 

23 feet are 

24 feet are 

5 bushels are 

20 pecks are 

21 pecks are 

22 pecks are 

23 pecks are 

24 pecks are 



pints. 

pints. 

pints. 

quarts. 

pints. 

quarts. 

quarts. 

feet. 

yards. 

feet. 

yards. 

feet. 

yards. 

yards. 

yards. 

- pecks. 

- bushels. 

- bushels. 

- bushels. 

- bushels. 

- bushels. 



[38] 



NUMBERS THROUGH 24 

Tell number stories about: 

6 qt. +1 pt. 5 qt. - 3 pt. 



5 yd. + 2 ft. 


6 yd. - 4 ft. 


3 pk. + 3 pk. 


6 bu. - 3 pk. 


24 = .? X 12 




24 = ? X 2 


20 = ? X 10 


24 = ? X 8 




22 = .? X 11 


20 = ? X 5 


24= ?x 6 




22 = ? X 2 


20 = ? X 4 


24= ?x 4 




21 = ? X 3 


20 = ? X 2 


24 = ? X 3 




21 = ? X 7 


18 = ? X 9 




Count by 2's to 


24. 




Count by 3's to 


24. 




Count by 4's to 


24. 




Count by 5's to 


24. 




Count by 6's to 


24. 


iof24 = 




|of 9 = 


|of 8 = 


iof20 = 




1 of 12 = 


iof 8 = 


i of 18 = 




i of 15 = 


i of 12 = 


i of 16 = 




iof21 = 


1 of 12 = 


i of 14 = 




iof24 = 


1 of 16 = 


i of 10 = 




4 of 18 = 


i of 20 = 



[39] 



NUMBERS THROUGH 24 — FOURTHS 




Frank. Uncle Will has been milking old Bess. 
Here he comes with the milk. 

Kate. I wonder how much he got today. Let us 
see you measure the milk, please, Uncle Will. 

Uncle Will. Yes, you may stand here by the table. 
This is a gallon measure. It takes four quarts 
of milk to fill it. The measure is half full now. 
Do you know how many quarts that is.? 

Frank. I know! It is quarts. 

Kate. If you put in quarts more it will be 

full. 

[40] 



NUMBERS THROUGH 24 

Uncle Will. That is right. I will pour the gal- 
lon of milk into the jar and fill it again. Now 
the gallon measure is one fourth full. How 
many quarts is that? 

Kate. That is just quart. 

Uncle Will. Here is another quart. Now the 
gallon measure is two fourths full. 

Frank. That is quarts. Two fourths of a 

gallon is the same as of a gallon. 

Uncle Will. I will put in another quart. Now 
the gallon measure is three fourths full. 

Kate. There are quarts of milk in it. One 

quart more and it will be full. 

Uncle Will. It is full now. I will pour it into 

the jar. There are quarts of milk in the 

jar now. 

Frank. Old Bess is a good cow. She gave 

gallons of milk. 

[41] 



NUMBERS THROUGH 24 



1 gal. 
Ugal. 
lUal. 
U gal. 

2 gal. 
21 gal. 

3 gal. 
gal. 
gal. 
gal. 



?qt 
?qt 

?qt 
?qt 
?qt 
?qt 
?qt 
?qt 
?qt 
?qt 



? 



2qt 
Iqt 
3qt 

4 qt 
6 qt 

5 qt 
7qt 
8qt 

12 qt 
20 qt 



= ? 



gal. 
gal. 
gal. 
gal. 
gal. 
gal. 
gal. 
gal. 
gal. 
gal. 



2 gal. + 

2 gal. + 

3 gal. + 
5 gal. + 

4 gal. + 

5 gal. - 

6 gal. - 
5 gal. - 
4 gal. - 
4 gal. - 
3 gal. - 



3qt 
5 qt 
3qt 

2 qt 
5 qt 
2qt 

5 qt 

3 qt 

6 qt 
10 qt 

9 qt 



. = . 


^qt. 


. = 


?qt. 


.= 


?qt. 


.= 


?qt. 


. = 


?qt. 


.= 


?qt. 


.= 


?qt. 




^qt. 


. = 


?qt. 


ss 


?qt. 


. = ; 


'qt. 



[42] 



NUMBERS THROUGH 24 



Add: 














6 


5 


7 


8 


9 


7 


8 


6 


5 


7 


8 


9 


6 


4 


2 


3 


7 


4 


2 


7 


3 


4 


5 


6 


3 


2 


7 


8 


7 


8 


9 


8 


7 


7 


8 


4 


4 


4 


3 


5 


6 


4 


7 


3 


5 


8 


6 


2 


4 


5 


4 


3 


. 4 


5 


2 


2 


5 


6 


7 


4 


3 


6 


6 


5 


6 


2 


4 


4 


4 


5 


5 


6 


7 


4 


3 


6 


6 


2 


4 


3 


5 


9 


6 


5 


3 


4 


3 


4 


7 


6 


5 


5 


3 


6 


2 


6 


3 


2 


3 


4 


3 


4 


7 


4 


4 


5 


3 


6 


3 


3 


2 


4 


6 


4 


3 


4 


1 


4 


5 



[43] 



NUMBERS THROUGH 24 




Frank. It is seven o'clock. We can stay up one 
hour more. How many hours are there in a 
whole day? 

Kate. In a day there are twenty-four hours. The 

minute hand of the clock has to go around 

times every day. 

Frank. From noon until midnight is hours. 

From midnight until noon is hours. 

Kate. One half of a day is hours. 



Frank. I get up at seven o'clock. It is 



hours 



until noon. I go to bed at eight o'clock. 

That is hours after noon. I am awake 

hours each day. 



Kate. Father works one third of each day. He 

works hours. 

[44] 



NUMBERS THROUGH 24 

12 hours + 12 hours = ? hours. 
i day = ? hours. 



8 hours + 8 hours + 8 hours = .? hours. 


3x8 hours = .? hours. 


1 day = ? hours. 




1 day = ? hours. 




6 hours + 6 hours + 6 hours + 6 hours 


i day = .? hours. 




f day = ? hours. 




1 day = ? hours. 




5 cents are J of — 


— cents. 


3 books are | of — 


— books. 


6 marbles are i of 


marbles. 


4 days are i of 


- days. 


9 feet are i of 


feet. 


3 nickels are i of - 


nickels. 


7 weeks are i of — 


— weeks. 


4 apples are | of — 


— apples. 


12 yards are i of — 


— yards. 


9 inches are i of — 


— inches. 



? hours. 



10 oranges are 4 of oranges. 



[45] 



NUMBERS THROUGH 25 — FIFTHS 




Kate. Father gave me a nickel. 

Frank. He gave me five copper cents. That is as 
much as a nickel. Here is one cent. One 
cent is one fifth of a nickel, because five cents 
make one nickel. 

Kate. Show me two fifths of a nickel. 

Frank. Two fifths of a nickel are cents. 

Kate. Please lend me three cents. One nickel and 
three cents are cents. 



Frank. Eight cents are 



nickels. 



Kate. Father gave me five nickels for a new book. 
Five nickels are cents. 

Frank. My book will cost twenty cents. I shall 

ask father for nickels. 

[46] 



NUMBERS THROUGH 25 



1 nickel = ? c. 


2 c. = ? nickels. 


f nickel = ? c. 


4 c. = ? nickels 


1 nickel = ? c. 


3 c. = ? nickels 


1 nickel = ? c. 


10 c. = ? nickels 


2 nickels = ? c. 


20 c. = ? nickels 


3 nickels = ? c. 


5 c. = ? nickels 


4 nickels = ? c. 


15 c. = ? nickels 


5 nickels = ? c. 


25 c. = ? nickels 



Tell number stories about: 



4 nickels + 3 


c. 


19 c. 


- 3 nickels 


2 nickels + 6 


c. 


18 c. 


- 2 nickels 


23-5 = 


24- 


4 = 


25-5 = 


23-4 = 


24- 


14 = 


25-15 = 


23 - 15 = 


24- 


20 = 


25 - 12 = 


23 - 10 = 


24- 


8 = 


25 - 10 = 


23 - 12 = 


24- 


6 = 


25-11 = 


23 - 13 = 


24- 


10 = 


25-6 = 


23- 6 = 


24- 


12 = 


25-9 = 


23-7 = 


24- 


13 = 


25-8 = 


23-9 = 


24- 


11 = 


25 - 20 = 



[47] 



NUMBERS THROUGH 28 

20 pints are quarts. 

24 pints are quarts. 

26 pints are quarts. 

28 pints are quarts. 

21 feet are yards. 

24 feet are yards. 

18 feet are yards. 

15 feet are yards. 

27 feet are yards. 

12 feet are yards. 

20 quarts are gallons. 

24 quarts are gallons. 

16 quarts are gallons. 

28 quarts are gallons. 

The multiplication table of twos: 

2x1=2 2x7= 14 

2x2=4 2x8= 16 

2x3=6 2x9= 18 

2x4=8 2x10 = 20 

2x5= 10 2 X 11 = 22 

2 X 6 = 12 2 X 12 = 24 

[48] 



NUMBERS THROUGH 28 



• 














19 


16 


15 


18 


12 


21 


14 


4 


6 


8 


10 


8 


6 


8 


8 


6 


4 


8 


9 


8 


7 


8 


7 


5 


2 


3 


4 


9 


4 


8 


6 


4 


6 


9 


2 


9 


8 


6 


5 


4 


9 


8 


9 


7 


8 


5 


9 


9 


9 


3 


5 


4 


7 


3 


9 


8 


7 


6 


8 


9 


5 


8 


9 


7 


7 


4 


3 


4 


5 


7 


4 


2 


5 


6 


6 


9 


6 



8 



9 


8 


5 


5 


8 


4 


6 


5 


4 


5 


4 


2 


6 


7 


2 


3 


4 


6 


9 


4 


6 


2 


4 


2 


2 


1 


5 


2 



[49] 



NUMBERS THROUGH 28 — SEVENTHS 






Ajijd^iXM 




/- /.//■■'/ 



^ ^^gs^^ 



Frank. Can you say the names of the days of the 
week ? 

Kate. Yes, I can say them and I can spell them, 
too. I will write them and you can count 
them. 

Frank. There are seven days in the week. To- 
day is Friday. Only one seventh of the week is 
left. 

Kate. We go to school five days. 

Frank. That is sevenths of the week. 

[50] 



NUMBERS THROUGH 28 

Kate. Next week we have a holiday, so we shall 
go to school only sevenths of the week. 

Frank. How many days are there in two weeks.? 

Kate. There are days in two weeks. 

Frank. How many days are there in three weeks? 



E. 1 nere ai 


c aa 


ys 1 


n tnree v 


/ecKS. 


1 wk. = 


?da. 




1 da. = 


.?wk. 


|wk. = 


?da. 




3da. = 


?wk. 


|wk. = 


?da. 




6da. = 


.?wk. 


1 wk. = 


?da. 




8da. = 


?wk. 


1 wk. = 


?da. 




10 da. = 


?wk. 


U wk. = 


?da. 




14 da. = 


.?wk. 


1| wk. = 


?da. 




15 da. = 


.?wk. 


2 wk. = 


.?da. 




21 da. = 


?wk. 


3 wk. = 


?da. 




22 da. = 


?wk. 


26 = ? X 13 


28- 


5 


= 


28- 18 


26= ?x 2 


28- 


9 


= 


28- 10 


27 = ? X 3 


28- 


14 


= 


28-20 


27 = .? X 9 


28- 


7 


= 


28-6 


28 = ? X 7 


28- 


21 


sz 


28- 16 




[51] 







NUMBERS THROUGH 30 




Begin with 2 and count by 2's to 30. 
Begin with 3 and count by 2's to 29. 
Begin with 3 and count by 3's to 30. 
Begin with 2 and count by 3's to 29. 
Begin with 4 and count by 4's to 28. 

1 ten and 3 units are 13. 

2 tens and 5 units are . 

2 tens and units are 28. 

2 tens and 6 units are . 

2 tens and units are 29. 



2 times 

3 times 

5 times 

6 times 
10 times 



are 30. 
are 30. 
are 30. 
are 30. 
are 30. 



15 times are 30. 

2 times are 28. 

4 times are 28. 



7 times are 28. 

14 times are 28. 



[52] 



NUMBERS THROUGH 30 



Add: 














8 


5 


2 


3 


6 


8 


2 


3 


2 


5 


2 


5 


6 


9 


2 


5 


4 


4 


5 


6 


2 


4 


3 


8 


3 


4 


2 


2 


12 


10 


15 


13 


12 


16 


10 


4 


10 


4 


6 


5 


4 


7 


5 


2 


3 


5 


5 


3 


7 


3 


1 


6 


2 


4 


5 


3 


2 


3 


1 


4 


3 


2 


2 


8 


9 


7 


6 


5 


7 


8 


8 


9 


6 


3 


4 


4 


4 


3 


2 


3 


3 


5 


7 


3 


3 


4 


1 


2 


4 


5 


2 


3 


5 


4 


5 


6 


6 


5 


9 


8 


8 


7 


7 


9 


8 


8 


7 


8 


5 


8 


1 


6 


6 


5 


4 


7 


3 


6 


4 


3 


6 


7 


6 


6 


4 


3 


4 


2 


3 


4 


5 


9 


7 



[53] 



NUMBERS THROUGH 30 



24 pt. = ? qt. 


12 qt. = ? gal. 


25 pt. = ? qt. 


16 qt. = ? gal. 


26 pt. = ? qt. 


20 qt. = ? gal. 


28 pt. = ? qt. 


24 qt. = ? gal. 


29 pt. = ? qt. 


28 qt. = ? gal. 


30 pt. = ? qt. 


29 qt, = ? gal. 


21 ft. = .? yd. 


15 c. = ? nickels. 


24 ft. = ? yd. 


20 c. = ? nickels. 


27 ft. = ? yd. 


25 c. = ? nickels. 


28 ft. = ? yd. 


27 c. = ? nickels. 


29 ft. = ? yd. 


29 c. = ? nickels. 


30 ft. = ? yd. 


30 c. = ? nickels. 


imber stories about: 





5 gallons of vinegar — 2 quarts of vinegar 
91 yards of lace - 2 yards of lace 
15 quarts of milk - 5 pints of milk 
5 nickels — 17 cents 
4 weeks + 2 days 
I of 20 cents 



i of 30 feet 



[54] 



NUMBERS THROUGH 30 



25- 


10 = 


28- 


14 = 


10+9 


25- 


5 = 


28- 


8 = 


11+11 


25- 


15 = 


28- 


18 = 


12+10 


25- 


6 = 


28- 


10 = 


14+10 


25- 


8 = 


28- 


4 = 


16+12 


25- 


7 = 


28- 


24 = 


18+10 


25- 


9 = 


28- 


5 = 


20+10 


26- 


13 = 


29- 


9 = 


10+15 


26- 


6 = 


29- 


19 = 


12+11 


26- 


16 = 


29- 


8 = 


13+9 


26- 


5 = 


29- 


6 = 


15+10 


26- 


4 = 


29- 


16 = 


17+6 


26- 


7 = 


29- 


4 = 


18+9 


26- 


8 = 


29- 


15 = 


16+8 


27- 


10 = 


30- 


15 = 


15+11 


27- 


7 = 


30- 


10 = 


20+8 


27- 


17 = 


30- 


5 = 


20+9 


27- 


6 = 


30- 


6 = 


12+12 


27- 


8 = 


30- 


16 = 


12+13 


27- 


9 = 


30- 


8 = 


14+14 


27- 


12 = 


30- 


12 = 


15+15 



[55] 



NUMBERS THROUGH 30 




Kate. This is the fifteenth day of November. 
This month is not so long as October. 

Frank. November has days. I can find 15 

on the calendar. 



Kate. There are 



days more in the month. 



Frank. The month is just half gone. 

Kate. We can divide November into three equal 

parts. days and days and days 

are 30 days. 

Frank. Then one third of a month is days, 

and two thirds are days. 

Kate. The month will soon be two thirds gone. 

[56] 



NUMBERS THROUGH 30 

15 da. + 15 da. = ? da. 

2 X 15 da. = ? da. 

4 mo. = ? da. 

10 da. + 10 da. + 10 da. = ? da. 

3 X 10 da. = ? da. 

^ mo. = ? da. 
f mo. = ? da. 
6 da. + 6 da. + 6 da. + 6 da. + 6 da. = .? da. 

5 X 6 da. = ? da. 
I mo. = ? da. 

I mo. = ? da. 

5 da. + 5 da. + 5 da. + 5 da. + 5 da. + 5 da. = ? da. 

6 X 5 da. = .? da. 
I mo. = ? da. 

3 X 10 days = ? da. 



27-^3 = 


30^ 3 = 


9x 3 


27^9 = 


30 H- 5 = 


7x 4 


30^2 = 


30-5-6 = 


5x 6 


28 H- 4 = 


30 ^ 10 = 


2x15 


28-5-7 = 


30 ^ 15 = 

[57] 


3x10 



NUMBERS THROUGH 32 



15 days are 4 of 


- days. 


10 pints are i of 


- pints. 


10 feet are i of 


feet. 


10 quarts are 1 of — 


— quarts. 


16 cents are | of — 


— cents. 


15 oranges are i of - 


oranges. 


7 oranges are 1 of - 


oranges. 


3 dolls are ^ of 


- dolls. 


5 balls are | of 


- balls. 


4 bananas are | of 


bananaj 


4 of 24 marbles are - 


marbles 


1 of 24 marbles are - 


marbles 


i of 18 eggs are 


- eggs. 


i of 15 apples are — 


— apples. 


1 of 15 apples are — 


— apples. 


i of 20 pencils are — 


— pencils. 


1 of 27 days are 


- days. 


1 of 21 days are 


- days. 


i of 30 inches are — 


— inches. 


4 of 22 cents are 


— cents. 



[58] 



NUMBERS THROUGH 32 



Add: 














8 


7 


5 


9 


6 


8 


8 


8 


8 


6 


9 


7 


8 


5 


8 


2 


4 


4 


6 


4 


7 


8 


5 


2 


6 


5 


4 


2 


6 


5 


6 


9 


4 


7 


7 


5 


3 


6 


8 


7 


6 


7 


6 


7 


6 


3 


4 


4 


3 


5 


2 


3 


8 


5 


2 


3 


4 


4 


8 


2 


6 


5 


5 


8 


8 


6 


9 


6 


5 


7 


6 


8 


4 


3 


5 


4 


3 


8 


3 


3 


2 


4 


5 


6 


6 


3 


5 


4 


7 


4 


4 


4 


6 


2 


1 


2 


6 


9 


Multiply: 














9 


8 


6 


10 


7 


5 


6 


3 


4 


5 


3 


4 


5 


4 


3 


5 


7 


4 


3 


4 


5 


6 


4 


3 


6 

[59] 


9 


8 


6 



NUMBERS THROUGH 34 



28 pt. = 


?qt. 


24 pk. = 


?bu. 


30 pt. = 


?qt. 


28 pk. = 


? bu. 


32 pt. = 


.?qt. 


30 pk. = 


?bu. 


33 pt. = 


?qt. 


32 pk. = 


.?bu. 


34 pt. = 


?qt. 


34 pk. = 


?bu. 


27 ft. = , 


?yd. 


20 c. = 


? nickels. 


30 ft. = . 


^yd. 


25 c. = 


? nickels. 


31 ft. = 


?yd. 


30 c. = 


.? nickels. 


33 ft. = . 


>yd. 


32 c. = 


} nickels. 


34 ft. = . 


>yd. 


34 c. = 


? nickels. 


24 qt. = ; 


'gal. 


21 da. = 


?wk. 


28 qt. = : 


*gal. 


28 da. = 


?wk. 


32 qt. = . 


?gal. 


30 da. = 


?wk. 


33 qt. = i 


'gal. 


32 da. = 


.?wk. 


34 qt. = : 


'gal. 


34 da. = 


? wk. 



Make number stories about : 

17 quarts of milk — 10 quarts of milk 

20 dollars + 14 dollars 

30 days - 10 days 

15 yards of silk + 6 yards of silk 
[60] 



NUMBERS THROUGH 34 



17+17 = 


34- 


6 = 


iof 18 


20 + 13 = 


34- 


5 = 


i of 18 


28+5 = 


34- 


10 = 


iof20 


26+6 = 


34- 


4 = 


J^of20 


22+9 = 


34- 


3 = 


|of20 


24+8 = 


34- 


9 = 


iof21 


27+7 = 


33- 


10 = 


lof22 


25+9 = 


33- 


6 = 


iof24 


24 + 10 = 


33- 


2 = 


iof24 


29+5 = 


33- 


7 = 


iof24 


26+4 = 


33- 


3 = 


iof30 


34- 


- 2 = 


5x 


?=25 


|of25 


33. 


- 3 = 


5x 


? = 30 


iof26 


33- 


- 11 = 


13 X 


? = 26 


|of27 


32- 


- 8 = 


2x 


? = 26 


4 of 28 


32- 


1- 4 = 


9x 


? = 27 


iof28 


32 ^ 16 = 


3x 


? = 27 


|of32 


32 4-2 = 


7x 


? = 28 


f of30 


30 4- 15 = 


14 X 


? = 28 


iof30 


30 H- 10 = 


4x 


? = 28 


iof32 


30 H- 3 = 


2x 


? = 28 


iof34 






[61] 





NUMBERS THROUGH 36 




Kate. We always have a good time when we come 
out to the farm. 

Frank. Aunt Alice said we might gather the eggs. 
Let us do that first. We can take this basket. 

Kate. Let us look first in the barn. See! There 
is a hen on her nest. Do not frighten her. 

Frank. Here are six eggs in this nest. That is 
dozen eggs. 

Kate. Here are six more. That makes dozen. 

Frank. Now I have four more. That makes 

eggs. 

Kate. It will take more eggs to make two dozen. 

[62] 



NUMBERS THROUGH 36 

3 dozen eggs — 10 eggs are eggs. 

2 dozen eggs — | dozen eggs are eggs. 

I dozen eggs are eggs. 

I dozen eggs are eggs. 

f dozen eggs are eggs. 

l^ dozen eggs are eggs. 

1| dozen eggs are eggs. 

1 dozen eggs and 8 eggs are eggs. 

2 dozen eggs and 4 eggs are eggs. 

2^ dozen eggs are eggs. 

3 dozen eggs are eggs. 

Make number stories about : 

1 dozen eggs + 6 eggs 

2 dozen eggs - 6 eggs 

Write the multiplication table of twos. 

The multiplication table of threes: 

3x1=3 3x7 = 21 

3x2=6 3x8 = 24 

3x3=9 3x9 = 27 

3 X 4 = 12 3 X 10 = 30 

3x5=15 3x11 = 33 

3 X 6 = 18 3 X 12 = 36 

[63] 



NUMBERS THROUGH 36 



1 = 


4of- 






1 = 


iof 




2 = 


4of- 


- — 




2 = 


lof 




3 = 


iof- 






3 = 


iof 




4 = 


iof- 






4 = 


iof 




5 = 


iof- 






5 = 


4 of 




6- 


iof- 






6 = 


iof 




7 = 


iof- 






7 = 


iof 




8 = 


4of- 






8 = 


iof 




9 = 


iof- 






9- 


iof 




10 = 


iof- 






10 = 


iof 




11 = 


iof- 






11 = 


lof 




12 = 


iof- 






12 = 


|of 

• 




Subtract: 














21 


22 


27 


37 


35 


24 


31 


10 


10 


10 


10 


10 


10 


10 


28 


29 


29 


20 


30 


30 


30 


6 


7 


9 


8 


_6 


9 


7 


28 


26 


36 


35 


29 


36 


27 


7 


5 


6 


_5 


8 


4 


7 



[64] 



NUMBERS THROUGH 36 



2 times — 




are 34 


9 times — 


— are 36 


7 times — 




are 35 


6 times — 


— are 36 


5 times — 




are 35 


4 times — 


— are 36 


18 times — 




are 36 


3 times — 


— are 36 


12 times — 


— 


are 36 


2 times — 


— are 36 


18 + 18 = 




30 H 


h ? = 36 


36 


.-10 = 


20 + 15 = 




26 H 


h ? = 36 


36 


► -12 = 


30+5 = 




18 H 


h ? = 36 


36 


.- 6 = 


28+4 = 




20 H 


h ? = 36 


36 


.-16 = 


30+ 6 = 




29 H 


h ? = 36 


36 


.-26 = 


29+5 = 




3H 


h ? = 36 


36 


_ 4 = 


28+8 = 




28 H 


h ? = 36 


36 


.-14 = 


27+5 = 




16- 


h ? = 36 


36 


»-24 = 


24+6 = 




27 H 


h ? = 36 


36 


- 5 = 


21 + 12 = 




25 H 


h ?=36 


36 


.-15 = 


30- 


- ? = 


2 


32- 


- ? = 16 


36- 


- ? =18 


30- 


- ? = 


3 


32 H 


- ?= 4 


36. 


- ? = 9 


30- 


- ? = 


6 


32- 


- ?= 8 


36- 


- ? = 4 


30- 


- ? = 


5 


33- 


- ?= 3 


36- 


- ? = 6 


30- 


'~ I ^ 


10 


33- 


5- ? = 11 


36- 


h ? =12 



[65] 



NUMBERS THROUGH 38 

Number Stories 
If a gallon of gasoline costs 12 cents, what will 2| 
gallons cost? 

Kate's mother bought 15 yards of silk for a dress. 
This was H yards too much. How much did it 
take for the dress? 

Kate's mother canned 2\ gallons of cherries. 
How many quarts did she can? 

Frank rode 6 miles on his bicycle in an hour. How 
far could he ride in H hours ? 

A grocer bought some oranges. He found that 
there were 3 spoiled ones in every dozen. How 
many spoiled ones were there in 12 dozen? 

If it takes a freight train an hour to go 28 miles, 
how many miles can it go in 1 of an hour? 

If oranges cost 2 cents apiece, 

Y dozen will cost cents. 

i dozen will cost cents. 

4 dozen will cost cents. 

1 dozen will cost cents. 

[66] 



NUMBERS THROUGH 38 

If eggs cost 1\ cents apiece, 

2 eggs will cost cents. 

4 eggs will cost cents. 

3 eggs will cost cents. 

6 eggs will cost cents. 



30 pt. = } qt. 


37 qt. = ? gal. 


32 pt. = .? qt. 


38 qt. = ? gal. 


34 pt. = .? qt. 


30 c. = .? nickels. 


36 pt. = .? qt. 


35 c. = .? nickels. 


38 pt. = ? qt. 


36 c. = .? nickels 


36 ft. = .? yd. 


28 da. = ? wk. 


37 ft. = ? yd. 


35 da. = ? wk. 


38 ft. = ? yd. 


36 da. = f wk. 



Add: 



2 


4 


1 


2 


5 


6 


5 


2 


3 


8 


6 


6 


9 


4 


7 


4 


8 


6 


5 


3 


5 


9 


8 


7 


8 


6 


6 


7 


9 


8 


6 


8 


8 


5 


6 


9 


6 


7 


8 
[67] 


6 


6 


6 



NUMBERS THROUGH 40 




Frank. Now let us feed the horses. There are 
eight in the barn. 

Kate. Uncle Will said we might give them each one 
quart of oats. 

Frank. I will fill this peck measure and cany it for 
you. You can fill the quart measure from it. 

Kate. There will be just enough to feed the eight 
horses. In one peck there are quarts. 

Frank. How hungry the horses are! How glad 

they are to see us! 

[68] 



NUMBERS THROUGH 40 — EIGHTHS 

Kate. You have taken half of the oats out of the 
peck measure. You have fed horses. 

Frank. If the horses eat a peck of oats every day, 
in two days they will eat quarts of oats. 

Kate. In three days they will eat quarts of 

oats. 

quarts of 



Frank. In four days they 


' will eat qu 


oats. 






i pk. = ? qt. 




4 qt. = .? pk. 


^ pk. = ? qt. 




1 qt. = ? pk. 


1 pk. = .? qt. 




2 qt. = } pk. 


i pk. = .? qt. 




6 qt. = ? pk. 


1 pk. = } qt. 




16 qt. = ? pk. 


2 pk. = ? qt. 




8 qt. = .? pk. 


3 pk. = .? qt. 




40 qt. = ? pk. 


4 pk. = ? qt. 




24 qt. = f pk. 


5 pk. = ? qt. 




32 qt. = .? pk. 


1 of 16 qt. = ? 


qt. 


2 X 16 qt. = .? qt 


iof40qt. = ? 


qt. 


3 X 10 qt. = f qt 


i of 30 qt. = ? 


qt. 


4 X 10 qt. = ? qt 



[69] 



NUMBERS THROUGH 40 



5t 
6t 
2t 
3t 
lit 
2t 

17 t 
5t 
7t 
2t 

18 t 
3t 

12 t 



mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 



are 30. 
are 30. 
are 32. 
are 33. 
are 33. 
are 34. 
are 34. 
are 35. 
are 35. 
are 36. 
are 36. 
are 36. 
are 36. 



4 times 
9 times 



6t 
2t 

19 t 
3t 

13 t 
2t 

20 t 
4t 

10 t 
5t 
8t 



mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 
mes 



are 36. 
are 36. 
are 36. 
are 38. 
are 38. 
are 39. 
are 39. 
are 40. 
are 40. 
are 40. 
are 40. 
are 40. 
are 40. 



Write number stories about : 

10 quarts of oats + 1 peck of oats 

4 gallons of milk + 3 pints of milk 

12 yards + 4 feet 

6 nickels + 9 cents 

i of 4 weeks 

i of 21 days 

40 pecks of corn — 2 bushels of corn 



[70] 



NUMBERS THROUGH 40 



20+ i 


' = 40 


12 X ? = 36 


30+ . 


>=40 


19 X ? = 38 


32 + 


?=40 


2 X ? = 38 


35 + 


?=40 


13 X ? = 39 


31 + 


? = 40 


3 X ? = 39 


33 + 


^ = 40 


20 X ? = 40 


36 + 


?=40 


2 X ? = 40 


29 + 


?=40 


10 X ? = 40 


19 + 


?=38 


4 X ? = 40 


20 + 


? = 38 


8 X ? = 40 


30 + 


^=38 


5 X ? = 40 



1 = i of 

1 = i of 

2 = 1 of 



3 = 

4 = 

5 = 

6 = 

7 = 

8 = 



of 
of 
of 
of 
of 
of 



9 = 1^ of 
10 = I of 



32 
32 
34 
35 
35 
36 
36 
36 
36 
36 
36 



4 
8 
2 
5 
7 
2 
3 
4 
6 
9 
12 



36 
38 
38 
39 
39 
40 
40 
40 
40 
40 
40 



18 = 

2 = 

19 = 

3 = 
13 = 

2 = 

4 = 

5 = 
8 = 

10 = 

20 = 

[71] 



1 = 

2 = 

3 = 

4 = 

5 = 

6 = 

7 = 

8 = 



^o( 



I of 
I of 
I of 



I of 
iof 



^of 



4 of 



1 = I of 

2 = |of 

3 = i of 



NUMBERS THROUGH 40 




Kate. Sometimes Uncle Will sells milk to people 
who live in town. 

Frank. He fills these pint bottles from the gallon 
measure. 

Kate. One gallon measure full of milk will fill 

pint bottles. 

Frank. If the gallon measure were just half full it 
would fill pint bottles. 



Kate. | of a gallon would fill 



pint bottles. 



Frank. And | of a gallon would fill 
bottle. 



pint 



Kate. Uncle Will got 5 gallons of milk this morn- 
ing. That will fill pint bottles. 

[72] 



NUMBERS THROUGH 40 



Add: 



1 gal. = 


?pt. 


1 


gal. = 


.?pt. 




2 gal. = 


?pt. 


H- 


gal. = 


?pt. 




3 gal. = 


.?pt. 


2i 


gal. = 


.?pt. 




4 gal. = 


.?pt. 


34. 


gal. = 


?pt. 




5 gal. = 


.?pt. 


4i 


gal. = 


?pt. 






2 gal. - 


i gal. = 


?pt. 








2 gal. + 


i gal. = 


?pt. 








3 gal. - 


i gal. = 


?pt. 








3 gal. + 


1 gal. = 


?pt. 








4 gal. + 


Igal. = 


?pt. 








4 gal. - 


i gal. = 


?pt. 








5 gal. - 


i gal. = 


?pt. 








5 gal. - 


1 gal. = 


?pt. 






6 5 


7 


8 


3 


6 


8 


4 5 


3 


2 


4 


4 


8 


3 2 


8 


7 


7 


7 


4 


5 1 


2 


3 


7 


3 


4 


2 3 


5 


5 


3 


8 


7 


4 6 


4 


9 


4 


2 


3 


5 4 


2 


2 


5 


9 


1 



[73] 



NUMBERS THROUGH 40 




Frank. See what Uncle Will sent me for a birthday 
present — some real scales with weights! 

Kate. Now we can weigh things. This weight is 
marked 16. 

Frank. That means one pound, because there are 
16 ounces in one pound. 

Kate. Let us weigh something that is just one 
pound. What can we find.? 

Frank. Here is the box of candy that Aunt Alice 
sent me. I will put it on one side of the scales 
and the pound weight on the other side. 

Kate. The scales balance. It weighs just one 

pound. 

[74] 



NUMBERS THROUGH 40 
Frank. This weight says 8. It means 8 ounces. 

Kate. That must be one half pound. 

Frank. I know what we can do. We will weigh 
one half pound of candy and it will be your part 
of my birthday gift. Here it is. 

Kate. Thank you, Frank. 

Frank. Now I will give half of my part to Mother. 

That will be ounces. That will be one 

fourth of a pound. 

8 oz. + 8 oz. = ? oz. I lb. = ? oz. 

2 X 8 oz. = .? oz. 8x2 oz. = ? lb. 

8 oz. + 8 oz. = .? lb. I lb. = .? oz. 

2x'8oz. = .Mb. lib.- ?oz. 

i lb. = .? oz. I lb. = ? oz. 

4 X 4 oz. = .? oz. I lb. = .? oz. 

i lb. = .? oz. 1| lb. = .? oz. 

-I lb. = ? oz. 11 lb. = ? oz. 

8 X 2 oz. = ? oz. 1| lb. = .? oz. 

i lb. = .? oz. 1| lb. = .? oz. 
[75] 



NUMBERS THROUGH 42 

Count by 2\s to 42. 
Count by 3's to 42. 
Count by 4's to 40. 
Count by 5's to 40. 
Count by 6's to 42. 
Count by 7's to 42. 
Count by 8's to 40. 
Count by 14's to 42. 

In 42 there are sevens. 

In 42 there are sixes. 

In 42 there are fourteens. 

In 42 there are threes. 

• In 42 there are twenty-ones. 

In 42 there are twos. 

In 1 fortnight there are 14 days. 

In 2 fortnights there are days. 

In 3 fortnights there are days. 

Write number stories about: 

■^ of 40 feet 40 cents - 25 cents 

^ of 40 cents 2 pounds - 4 ounces 

[76] 



NUMBERS THROUGH 42 



42-2 = 


40 - 10 = 


41-2 = 


42 - 12 = 


40 - 20 = 


41- 10 = 


42 - 10 = 


40-6 = 


41-4 = 


42-8 = 


40-4 = 


41-7 = 


42-5 = 


40-8 = 


41-9 = 


42-4 = 


40-3 = 


41 - 11 = 


42-6 = 


40-2 = 


41-8 = 


42-9 = 


40-7 = 


41-6 = 


42- 7 = 


40-5 = 


41-3 = 


42-3 = 


40-9 = 


41-5 = 


15+5 = 


16+6 = 


14+7 = 


25 + 5 = 


26 + 6 = 


24+7 = 


35+5 = 


18 + 6 = 


34+7 = 


17 + 5 = 


28 + 6 = 


13+7 = 


27 + 5 = 


17+6 = 


23+7 = 


16+5 = 


27 + 6 = 


33 + 7 = 


26+5 = 


15+6 = 


15+7 = 


14+5 = 


25+6 = 


25+7 = 


24 + 5 = 


9 + 6 = 


35 + 7 = 


34+5 = 


19+6 = 


17+7 = 


18+5 = 


29+6 = 


27+7 = 


19 + 5 = 


24+6 = 
[77] 


30 + 7 = 



NUMBERS THROUGH 44 

Number Stories 

Kate is eight years old. Her mother is 4 times as 
old. How old is her mother.? 

Frank is 7 years old. His father is 5 times as 
old. How old is his father.? 

How long will it be until Frank is 21 years old? 

How long will it be until Kate is 18.? 

Uncle Will is four times as old as Frank. How 
old is he.? 

How many years older than Frank is Uncle Will .? 

Kate's little cousin is just one fourth as old as 
she is. How old is the little cousin .? 

Add Kate's age, Frank's age, and Uncle Will's age. 

Add Kate's age and her mother's age. 

Add Frank's age and his father's age. 

Add Kate's age and her father's age. 

[78] 



NUMBERS THROUGH 44 
If nails cost 4 cents a pound, 

pounds can be bought for 8 cents. 

pounds can be bought for 16 cents. 

pounds can be bought for 10 cents. 

pounds can be bought for 17 cents. 

If a pound of stick candy costs 16 cents, 

pound can be bought for 8 cents. 

pound can be bought for 4 cents. 

pound can be bought for 12 cents. 

pound can be bought for 2 cents. 



15+15 = 


i of 30 = 


44-4 


20 + 20 = 


i of 36 = 


44- 14 


22 + 22 = 


iof32 = 


44-24 


12 + 12 = 


iof28 = 


44-34 


14 + 14 = 


iof40 = 


44- 10 


16 + 16 = 


4 of 44 - 


44 20 


11 + 11 = 


iof24 = 


44-30 


18+18 = 


i of 26 = 


44-40 


10 + 10 = 


iof20 = 


44-7 


13+13 = 


iof42 = 


44-9 



[79] 



NUMBERS THROUGH 45 




Kate. Let us play store. I will be the storekeeper 
and weigh things on the new scales. 

Frank. I will come to buy. 

Kate. All right. What can I sell you today.? 

Frank. I want half a pound of butter. How much 
is it.? 

Kate. Butter is 40 cents a pound now. ^ of a 



pound will cost 



cents. 



Frank. Then I want half a gallon of vinegar. How 
much is that ? 

Kate. Vinegar is 30 cents a gallon. Half a gallon 
will cost cents. 

Frank. I want 40 cents' worth of sugar. 

[80] 



NUMBERS THROUGH 45 

Kate. Sugar is 8 cents a pound. I will give you 

pounds for 40 cents. Do you want some 

potatoes ? 

Frank. Yes, how much are they.? 

Kate. They are 20 cents a peck. 

Frank. That is too much. 

Kate. Well, I will let you have them for 15 cents a 
peck. 

Frank. You may send me half a bushel. 

Kate. That will be cents. 

If a pound of sugar costs 6 cents, 

3i pounds will cost cents. 

4 pounds will cost cents. 

If oranges cost 40 cents a dozen, 

6 oranges will cost cents. 

3 oranges will cost cents. 

15 oranges will cost cents. 

[81] 



NUMBERS THROUGH 45 




Frank. How nice it is that spring has come. Now 
we can make our garden. 

Kate. Yes, I shall make a pansy bed 1 foot long 
and 1 foot wide. 

Frank. Then it will be square and will contain 1 
square foot. I shall make this bed 1 foot wide 

but 3 feet long. It will contain square 

feet. 

Kate. Oh, no; make it 3 feet wide. Then it will 
be square and will contain square feet. 

Frank. Three feet are 1 yard. It will be 1 yard 
long and 1 yard wide and contain 1 square yard. 

In 1 square yard there are square feet. 

[82] 



NUMBERS THROUGH 45 

Kate. Let us make another bed by the hedge. 
Make it 6 feet long and 3 feet wide. It will con- 
tain square feet. 

Frank. It will contain square yards. 

Kate. If we could make a bed 9 feet long and 4 feet 
wide, it would contain square feet. 

Frank. That would be square yards. 

Kate. Suppose we make one 8 feet long and 5 feet 
wide. It will contain square feet. 

Frank. Let us spade all the space on this side of 
the walk and then divide it into small beds. 

Kate. I will measure the space. It is 9 feet long 
and 5 feet wide. 

Frank. Then we shall spade square feet. 

Kate. That will be square yards. 



2x20 = 


3x 9=F 


3x11 


2x15 = 


3x 8 = 


3x 6 


2x12 = 


3x12 = 


3x 5 


2x10 = 


3x10 = 

[83] 


3x 7 



NUMBERS THROUGH 45 
Draw a square yard on the floor. 
Divide it into square feet. 
How many square feet in a square yard ? 



Draw an oblong 9 feet long and 3 feet wide. 
Divide it into square feet. 
How many square feet does it contain .? 
How many square yards .? 



1 sq. yd. 

2 sq. yd. 

3 sq. yd. 

4 sq. yd. 

5 sq. yd. 



? sq. ft. 
? sq. ft. 
.? sq. ft. 
.? sq. ft. 



= ? 



sq. ft. 



i of 9 sq. ft. = ? sq. ft. 
T sq. yd. = .? sq. ft. 
I of 9 sq. ft. = .? sq. ft. 
I sq. yd. = .? sq. ft. 
I of 9 sq. yd. = ? sq. ft. 



3 tens and 3 units are 

4 tens and units are 42 

3 tens and 9 units are 

2 tens and 8 units are 

3 tens and units are 37 

4 tens and units are 45 



[84] 



NUMBERS THROUGH 45 



Add: 














9 


8 


7 


8 


6 


5 


6 


9 


8 


6 


8 


8 


5 


5 


9 


6 


7 


8 


6 


6 


6 


4 


6 


6 


9 


4 


4 


5 


3 


5 


8 


5 


9 


6 


6 


9 


4 


2 


7 


7 


7 


9 


8 


8 


7 


9 


7 


9 


8 


2 


8 


5 


7 


7 


9 


8 


9 


4 


7 


4 


8 


9 


8 


3 


7 


5 


2 


6 


9 


8 


5 


3 


4 


5 


4 


5 


8 


4 


2 


3 


4 


3 


4 


4 


5 


6 


7 


7 


9 


8 


9 


7 


6 


8 


4 


5 


2 


8 


9 


7 


6 


3 


8 


7 


5 


6 


8 


9 


7 


4 


3 


4 


4 


6 


7 


3 


3 


5 


3 


3 


8 


5 


9 


3 


5 


2 


2 


7 


4 


8 


7 


4 


7 


3 


4 


2 


4 

[85] 


5 


6 


4 



NUMBERS THROUGH 46 



40 pt. = r 


'qt. 


45 c. = 


? nickels. 


42 pt. = i 


'qt. 


46 c. = 


? nickels. 


44 pt. = r 


qt. 


35 da. = 


?wk. 


46 pt. = i 


'qt. 


42 da. = 


.?wk. 


36 ft. = i 


'yd. 


45 da. = 


?wk. 


39 ft. = 


?yd. 


46 da. = 


?wk. 


42 ft. = ; 


'yd. 


32 pt. = 


? gal. 


45 ft. = : 


'yd. 


40 pt. = 


? gal. 


46 ft. = i 


'yd. 


44 pt. = 


? gal. 


40 qt. = : 


'gal. 


45 pt. = 


? gal. 


42 qt. = i 


'gal. 


46 pt. = 


? gal. 


44 qt. = ; 


'gal. 


36 sq. ft. 


= ? sq. yd. 


46 qt. = ! 


'gal. 


45 sq. ft. 


= ? sq. yd. 


40 c. = i 


' nickels. 46 sq. ft. 


= ? sq. yd. 


16+5 = 




18+6 = 


16+7 = 


26 + 5 = 




28 + 6 = 


26+7 = 


36+5 = 




38 + 6 = 


36+7 = 


15+5 = 




17 + 6 = 


17 + 7 = 


25+5 = 




27 + 6 = 


27+7 = 


35+5 = 




37+6 = 


37+7 = 


14 + 5 = 




34 + 6 = 

[86] 


30+7 = 



NUMBERS THROUGH 46 



43- 


7 = 


44 


6 = 


33+ ; 


' = 43 


43- 


9 = 


44- 


8 = 


36+ i 


' = 43 


43- 


10 = 


44 


10 = 


38+ i 


' = 43 


43- 


20 = 


44- 


20 = 


30+ 1 


= 43 


43- 


13 = 


44- 


14 = 


35 + 


^ = 43 


43- 


8 = 


44 


9 = 


37+ . 


^ = 43 


43- 


4 = 


44- 


7 = 


38+ : 


' = 44 


43- 


6 = 


44- 


5 = 


37+ : 


' = 44 


43- 


2 = 


44- 


3 = 


40+ i 


'-44 


43- 


3 = 


44- 


2 = 


36+ . 


?-44 


43- 


5 = 


44- 


4 = 


34 + 


>-U 


45- 


10 = 


46- 


10 = 


35+ . 


^=45 


45- 


20 = 


46- 


20 = 


38+ . 


^ = 45 


45- 


15 = 


46- 


16 = 


34+ i 


' = 45 


45- 


3 = 


46- 


2 = 


32+ ; 


'=45 


45- 


5 = 


46- 


4 = 


36+ : 


' = 45 


45- 


7 = 


46- 


6 = 


37+ . 


^ = 45 


45- 


9 = 


46- 


8 = 


38+ : 


' = 46 


45- 


8 = 


46- 


9 = 


39+ . 


? = 46 


45- 


6 = 


46- 


7 = 


40+ . 


' = 46 


45- 


4 = 


46- 


5 = 


37+ : 


' = 46 


45- 


2- 


46- 


3 = 


35+ i 


' = 46 






[87] 







NUMBERS THROUGH 48 

Number Stories 
The rug in Kate's room is 10 feet long and 8 feet 
wide. How many feet is it around it ? 

The rug in the dining room is 12 feet long and 8 
feet wide. How many feet is it around it? 

Frank's brother works for H dollars a day. How 
much will he receive in 2 days? In 3 days? 

Frank has a rope 45 feet long. He wishes to 
cut it into pieces each 9 feet long. Into how many 
pieces can he cut it? 

When lemons are Worth 30 cents a dozen, how 
many lemons can be bought for 45 cents ? 

A milkman had 4 gallons of milk. He sold 3i 
gallons. He had quarts left. 

If a quart of vinegar can be bought for 5 cents, 
^ gallon will cost cents. 

Kate had 7 yards of ribbon. She cut it into two 
equal parts. In each part there were yards. 

Frank paid 20 cents for ^ dozen oranges. A 

dozen oranges' would cost cents. 

[88] 



NUMBERS THROUGH 48 



10+10+10 = 


lofSO 


12 + 12 + 12 = 


|of30 


15+15+15 = 


iof36 


11 + 11 + 11 = 


f of36 


9+ 9+ 9 = 


4 of 33 


8+ 8+ 8 = 


|of33 


13 + 13 + 13 = 


|of27 


7+ 7+ 7 = 


|of27 



The multiplication table of fours : 

4x1=4 4x 7 = 28 

4x2=8 4x8 = 32 

4x3= 12 4x9 = 36 

4 X 4 = 16 4 X 10 = 40 

4x5 = 20 4x11 = 44 

4 X 6 = 24 4 X 12 = 48 



36 H- 3 = 


36 + 4 = 


16 + 4 


30 H- 3 = 


44 + 4 = 


12 + 4 


27 H- 3 = 


48 + 4 = 


20 + 4 


33 + 3 = 


40 + 4 = 


28 + 4 


24 + 3 = 


24 + 4 = 


32 + 4 



[89] 



NUMBERS THROUGH 48 




Mother. This picture is very pretty. Let me show 
you how to mount it. 

Kate. I have a cardboard here that is 8 inches long 
and 6 inches wide. 

Mother. That will be just right. I will measure 
1 inch from the corner on the short side and 
draw a line parallel with the long side. I have 
made an oblong 6 inches long and 1 inch wide. 
It contains 6 square inches. 

Frank. You have made a big oblong, too. It is 
6 inches long and 5 inches wide. It contains 
square inches. 

Mother. I will draw a line 1 inch from the oppo- 
site side. These two narrow oblongs contain 

square inches. 

[90] 



NUMBERS THROUGH 48 

Kate. You have left an oblong in the middle. It 
is 8 inches long and 4 inches wide. It contains 
square inches. 

Mother. I will measure 1 inch from the corner on 
the long side and draw a line parallel with the 
short side. I have made 2 one inch squares and 
an oblong 4 inches long and 1 inch wide. The 
oblong contains square inches. 

Kate. You still have left a large oblong. It is 7 

inches long and 4 inches wide. It contains 

square inches. 

Mother. I draw a line an inch from the other short 
side. I now have 4 one inch squares and 5 
oblongs. 

Kate. The oblong in the middle is 6 inches long 

. and 4 inches wide. It contains square 

inches. 

Mother. The 4 squares in the corners together 
contain square inches. 

Kate. The 4 narrow oblongs together contain 

square inches. 

[91] 



NUMBERS THROUGH 48 

Frank. The 4 narrow oblongs and the 4 squares 
together contain square inches. 

Mother. We will mount this picture on the middle 

oblong. It just covers it. It covers square 

inches of surface. 

Frank. It leaves a border of square inches. 

Kate. The cardboard itself contains square 

inches. 

Draw an oblong 4 inches long and 3 inches wide. 
How many square inches does it contain ? 

Divide it into 2 equal parts. How many square 
inches are there in each part ? 

Draw an oblong 5 inches long and 4 inches wide. 
How many square inches does it contain ? 

Divide it into two equal parts. How many square 
inches are there in each .? 

Divide each half into 2 equal parts. How many 
square inches are there in each of these parts ? Each 
of these parts is what part of the oblong } 

[92] 



NUMBERS THROUGH 48 



iof 



s20. 

s24. 

s22. 

sl8. 

s 12. 

s9. 

s7. 

s4. 



» of 



iof 
iof 



- is 5. 

- is 8. 

- is 6. 

- is 5. 

- is 6. 
i of is 5. 



r 
1 

T 

1 

T 

Iof 

Iof 

1 

T 

1 

T 

1 

T 



iof 



is 6. 
is 4. 



Make number stories about: 

A flower bed 6 feet long and 3 feet wide 

A rug 5 feet long and feet wide 

A mirror 3 feet long and feet wide 

Add: 



9 


8 


9 


9 


8 


6 


7 


4 


8 


6 


6 


7 


6 


6 


7 


6 


7 


5 


3 


6 


7 


3 


4 


5 


4 


6 


6 


6 


9 


3 


2 


8 


4 


6 


7 


2 


5 


4 


2 


9 


6 


6 


5 


5 


9 


8 


5 


5 


7 



[93] 



NUMBERS THROUGH 48 



In 48 there are two 



In 48 there are three 

In 48 there are four 

In 48 there are six 

In 48 there are eight 

In 48 there are twelve 

In 48 there are sixteen 

In 48 there are twenty-four 



In 45 there are three - 
In 45 there are five — 
In 45 there are nine — 
In 45 there are fifteen 



In 44 there are two 

In 44 there are four 

In 44 there are eleven 

In 44 there are twenty-two 



In 42 there are two 



In 42 there are three 
In 42 there are six — 



In 42 there are seven 

C94] 





NUMBERS 


THROUGH 


48 




48- 


h 2 = 


44- 


■r 4 = 


48- 


8 


48- 


r 3 = 


44- 


h 11 = 


48- 


12 


48- 


i- 4 = 


44- 


1-22 = 


48- 


10 


48- 


1- 6 = 


42- 


h 2 = 


48- 


9 


48- 


H 8 = 


42- 


h 3 = 


48- 


5 


48- 


h 12 = 


42- 


h 6 = 


48- 


4 


48- 


5- 16 = 


42- 


f- 7 = 


48- 


6 


48- 


-24 = 


42- 


- 14 = 


48- 


7 


45- 


■- 3 = 


42. 


-21 = 


48- 


2 


45- 


- 5 = 


40- 


- 2 = 


48- 


3 


45- 


- 9 = 


40- 


- 4 = 


48- 


11 


45. 


- 15 = 


40 H 


-10 = 


48- 


13 


44. 


- 2 = 


40- 


- 5 = 


48- 


15 



Write the multiplication table of twos. 
Write the multiplication table of threes. 



3x11 = 


2x11 = 


2x17 


3x12 = 


2x 12 = 


2x18 


3x13 = 


2x13 = 


2x19 


3x14 = 


2x14 = 


2x20 


3x15 = 


2x15 = 


2x21 


3x16 = 


2x16 = 

[95] 


2x22 



NUMBERS THROUGH 50 




Frank. Mother says that we may open our banks 
and count our money. 

Kate. I think you have more than I have. I have 
a quarter and two nickels and three cents. I 
have cents. 

Frank. I have three dimes and two nickels and 
four cents. I have cents. 

Kate. I should have forty cents if I had cents 

more. 



Frank. I should have fifty cents if I had 
more. 



cents 



Kate. I am going to take ten cents to buy a little 
bed for my doll. Ten cents taken from thirty- 
eight cents leaves cents. 

[96] 



NUMBERS THROUGH 50 

Frank. I want a new top. I can get a good one 
for ten cents. If I take ten cents from forty- 
four cents I shall have cents left. 



4 nickels and 4 cents are — 
6 nickels and 9 cents are - 

2 dimes and 2 nickels are 

3 dimes and 6 cents are — 

4 dimes and 9 cents are — 



1 quarter and 1 nickel are — 
1 quarter and 3 nickels are 
1 quarter and 2 dimes are — 



cents, 
cents. 

— cents, 
cents, 
cents. 

— cents. 

— cents. 



cents. 



1 quarter and 1 dime and 2 cents are cents. 

3 dimes and 2 nickels and 1 cent are cents. 

2 dimes and 3 nickels and 3 cents are cents. 

4 dimes and 1 nickel and 4 cents are cents. 



50 - 10 = 
50 -- 20 = 
50 - 40 = 
50-5 = 
50 - 15 = 
50 - 25 = 



16+ 4+10 
23 + 10 + 3 
32+ 5+ 5 
30 + 9+10 
25 + 5+10 
35+10+ 5 



[97] 



NUMBERS THROUGH 50 




Frank. I have put all of my money back into my 
bank except one dime. 

Kate. I have put all of mine back except ten cents. 

Frank. One dime is the same as ten cents. 

Kate. Let us put the cents into 2 equal groups. 

Frank. In each group there will be cents. 

I of a dime is cents. 

Kate. Now we will put them into 5 equal groups. 
In each group there will be cents. 

Frank. Then | of a dime is cents and f of a 

dime are cents. 

Kate. Yes, and | of a dime are cents, and 4 of 

a dime are cents. 

[98] 



NUMBERS THROUGH 50 ^ 

Frank. If each cent is by itself, the dime will be 
divided into ten parts. 

Kate. Then each part will be yV of a dime. 



i dime = .? c. 

I dime = ? c. 

I dime = .? c. 

I dime = .? c. 
yV dime = ? c. 
yV dime = .? 



c. 



H dimes = .? c. 
2y dimes = .? c. 
2f dimes = ? c. 
3iV dimes = .? c. 
3i dimes = ? c. 
44 dimes = ? c. 



49 cents = 

49 cents = 
47 cents = 
47 cents = 
44 cents = 
44 cents = 
39 cents = 
39 cents = 
39 cents = 
38 cents = 

50 cents = 
46 cents = 



dimes + .? cents. 

nickels + .? cents. 

quarters + ? cents. 

quarters + ? dimes + .? cents. 

dimes + ? cents. 

nickels + .? cents. 

dimes + ? cents. 

dimes + ? nickels + ? cents. 

quarters + ? dimes + ? cents. 

dimes + ? nickels + f cents, 

quarters. 

f dimes + ? cents. 
[99] 



NUMBERS THROUGH 50 

Begin with 1 and count by 2's to 49. 
Begin with 1 and count by 3's to 49. 
Begin with 1 and count by 4/s to 49. 
Begin with 1 and count by 5's to 46. 
Begin with 1 and count by 6's to 49. 

Count backward by 2's from 50. 
Count backward by 3's from 50. 
Count backward by 4's from 50. 
Count backward by 5's from 50. 
Count backward by 6's from 50. 

Draw a line H inches long. 

Draw another line 4 times as long. How long is 
this line? 

Draw a line 31 inches long. Draw another line 
2 times as long. How long is it.? 

Draw a line 6 inches long. Draw a line 2^ times 
as long. How long is it.? 

Draw a line 9 inches long. Draw a line 1| times 
as long. How long is it .? 

Draw a line 10 inches long. Draw a line 1^ 

times as long. How long is it.? 

[100] 



NUMBERS THROUGH 50 



2x15 = 


4x 


6 = 


9x3 


2x25 = 


4x 


11 = 


9x5 


2x19 = 


4x 


12 = 


9x4 


2x16 = 


4x 


10 = 


10x2 


2x14 = 


4x 


8 = 


10x4 


2x13 = 


4x 


7 = 


10x5 


2x20 = 


5x 


6 = 


10x3 


2x12 = 


5x 


8 = 


11x3 


2x 18 = 


5x 


10 = 


11x2 


2x17 = 


5x 


9 = 


11x4 


2x21 = 


5x 


7 = 


12x3 


2x23 = 


6x 


8 = 


12x2 


3x 9 = 


6x 


6 = 


12x4 


3x10 = 


6x 


5 = 


13x3 


3x16 = 


6x 


7 = 


13x2 


3x14 = 


7x 


7 = 


14x2 


3x13 = 


7x 


5 = 


14x3 


3x15 = 


7x 


6 = 


15x3 


3x12 = 


8x 


4 = 


15x2 


3x11 = 


8x 


5 = 


16x2 


3x 8 = 


8x 


6 = 


16x3 



[101] 



NUMBERS THROUGH 50 



i~^ V 








Frank. My birthday is next Saturday and Mother 
says that I may have a party and may invite 
16 children. 

Kate. Let us plan what we shall have to eat. 

Frank. I want ice cream. 

Kate. Yes. We shall need a gallon. That is 



quarts. Mother will make it for us, so we shall 
not have to buy it. 

Frank. Let us buy some little cakes. 

Kate. They are 20 cents a dozen. We shall need 
li dozen. That will cost cents. 

Frank. Everybody likes oranges. Let us have 
some. 

[102] 



NUMBERS THROUGH 50 

Kate. Oranges are 30 cents a dozen. 1^ dozen 
will cost cents. 

Frank. I want some nuts, too. 

Kate. We can get some for 20 cents a pound. Two 
pounds will cost cents. 

Frank. We must not forget the candy. 

Kate. I like good stick candy. That is 25 cents a 
pound. Two pounds will cost cents. 

1 pound of candy cost 30 cents. 

4 pound cost cents. 

H pounds cost cents. 

1 dozen bananas cost 20 cents. 

I dozen bananas cost cents. 

H dozen bananas cost cents. 

1 pound of butter cost 40 cents. 

i pound cost cents. 

^ pound cost cents. 

1 pie cost 20 cents. 

Y pie cost cents. 

I pie cost cents. 

[103] 



NUMBERS THROUGH 52 




Kate. Frank, can you add 23 and 22? 

Frank. I don't think I can. That is not very 
easy. 

Kate. I will show you how. Write it on the board, 

so: 23 

22 

— . See where I write it? 



3 and 2 are - 
The numbers in the next column are tens. 2 
tens and 2 tens are tens. I will put the 

4 in the tens column. The answer is . 

Frank. I think I can add now. 

Kate. Add 32 and 20. 

Frank. I will write it on the board. 2 and are 
. 3 tens and 2 tens are tens. The 



answer is 



[104] 



NUMBERS THROUGH 52 



Add: 



31 


24 


15 


16 


14 


21 


12 


32 


23 


15 


34 


28 


16 


31 


25 


11 


21 


32 


15 


21 


12 


23 


13 


24 


17 


25 


13 


21 


14 


22 


12 


13 


14 


21 


25 


12 


13 


12 


12 


12 


12 


13 


13 


15 , 


12 



Write number stories about: 

24 miles +15 miles 

16 bushels + 22 bushels 

15 feet and 23 feet 

32 dollars and 10 dollars 

20 inches and 30 inches 

14 gallons and 21 gallons 
[105] 



NUMBERS THROUGH 52 — TWELFTHS 




Kate. I have a strip of paper here that is just one 
foot long. 

Frank. Then it is inches long. 

Kate. If I fold it into two equal parts, each part 
will be — ^ inches long. One half of a foot is 
inches. 

Frank. Fold it into three equal parts. 

Kate. Then each part will be inches long. 

Frank. One third of a foot is inches. Two 

thirds of a foot are inches. 

Kate. Now I am going to fold it into four parts. 

Each part is now inches long. 

[106] 



NUMBERS THROUGH 52 

Frank. One fourth of a foot is inches. Two 

fourths are inches, and three fourths are 

inches. 

Kate. Two fourths of a foot is just the same as 
of a foot. 

6 in. + 6 in. = .? in. 

2 X 6 in. = .? in. 
i ft. = ? in. 

4 in. + 4 in. + 4 in. = .? in. 

3 X 4 in. = .? in. 
i ft. = ? in. 

t ft. = ? in. 

3 in. + 3 in. + 3 in. + 3 in. = ? in. 

4 X 3 in. = .? in. 
I ft. = ? in. 

1 ft. = ? in. 

2 in. + 2 in. + 2 in. + 2 in. + 2 in. + 2 in. = .? in. 



6 X 2 in. = ? in. 


tV ft. 


= ?in. 


1 ft. = .? in. 


A ft. 


= .? in. 


i ft. = .? in. 


-n ft. 


= .? in. 



[107] 



NUMBERS THROUGH 54 

Mother. Frank is growing so fast 
that he will soon be as tall as 
you, Kate. 

Kate. Let us measure and see how 
tall we are. 

Mother. Stand here against the 
wall. I will place a mark over 
your head. 

Kate. Now I can measure to the 
mark*. I am 4 feet and 3 inches 
tall. I am inches tall. 

Frank. Now it is my turn, Mother. 

Mother. I will put a mark over your head. 

Frank. Let me take the measure. I am 3 feet and 
11 inches tall. I am inches tall. 

Kate. I am inches taller than you are. 

Frank. Brother is 5 feet tall. He is inches 

taller than I am. 

Kate. Father is 6 feet and 1 inch tall. He is 

foot and inch taller than Brother. 

[108] 




NUMBERS THROUGH 54 

U ft. + 2 in. = ? in. 

U ft. + 3 in. = ? in. 

1| ft. + 6 in. = .? in. 

1| ft. + 4 in. = .? in. 
ItV ft. + 10 in. = .? in. 

2i ft. - 4 in. = ? in. 

3 ft. — 5 in. = ? in. 

3 ft. - 10 in. = .? in. 

4| ft. - 2 in. = ? in. 

4| ft. - 6 in. = ? in. 

51-11= 52-12= 25 + 25 

51 - 10 = 52 - 10 = 20 + 20 

51-5= 52-11= 30+10 

51 - 15 = 52 - 4 = 40+10 

51 - 6 = 52 - 14 = 30+15 

51 - 16 = 52 - 6 = 24+12 

51 - 8 = 52 - 16 = 15+10 

51 - 18 = 52 - 3 = 15 + 20 

51 - 4 = 52 - 13 = 15+15 

51 - 14 = 52 - 7 = 30 + 20 

51-21= 52-20= 32+10 

51 - 20 = 52 - 8 = 30 + 24 
[109] 



NUMBERS THROUGH 54 




Here are some number stories: 

Kate used an ounce of coffee to make 2 cups of 
coffee. How many cups could she make from a 
pound of coffee? 

Frank wished to make a frame for a picture that 
was 2 feet long and H feet wide. How piany feet 
was it around the picture? If he allowed one foot 
extra for the corners, what did the molding cost him 
at 6 cents a foot? 

Frank and his cousin picked the cherries on one of 
Uncle Will's trees in 27 minutes. How long would it 
have taken 1 boy to do it alone ? 

Kate has in her bank 1 quarter, 2 dimes, a nickel, 

and 3 cents. How much money has she? 

[110] 



NUMBERS THROUGH 54 

One of Uncle Will's cows eats 2 quarts of meal a 
day. How long will it take her to eat 3 pecks ? 

If corn grows 2 inches in a day, how many inches 
will it grow in 1 week ? How many inches will it grow 
in 3 weeks ? 

Frank had 50 cents. He spent f of it for a new 
book. How much did the book cost.^ How much 
money did Frank have left ? 

Uncle Will put 12 gallons of cider in a barrel. 
He took out 3^ gallons. How many gallons remained .? 

He sold 1 gallon of cider for 10 cents a quart. 
How much money did he receive ? 

Frank's father divided 50 cents equally between the 
two children. How much did each receive ? 

Uncle Will's wife bought 5 yards of gingham ar 
10 cents a yard. She paid for it with eggs at 20 cents 
a dozen. How many dozen eggs did she give.? 

There were 8| bushels of potatoes in a bin. 
Frank took out 3 pecks. How many pecks re- 
mained ? 

[Ill] 



NUMBERS THROUGH 54 

50 pt. = ? qt. 42 da. = ? wk. 

52 pt. = .? qt. 49 da. = .? wk. 

54 pt. = .? qt. 54 da. = f wk. 



45 ft. = ? yd. 40 qt. = .? pk. 
51 ft. = .? yd. 48 qt. = ? pk. 
54 ft. = .? yd. 54 qt. = .? pk. 



52 qt. = ? gal. 45 sq. ft. = ? sq. yd. 
54 qt. = ? gal. 54 sq. ft. = ? sq. yd. 



50 c. = .? 


nickels. 


50 c. 


= ? dimes. 


54 c. = .? 


nickels. 


54 c. 


= .? dimes. 


53-5 = 


54- 


8 = 


20 + .? = 40 


53-3 = 


54- 


6 = 


30 + ? = 50 


53-2 = 


54- 


4 = 


25 + ? = 50 


53-4 = 


54- 


3 = 


15 + ? = 30 


53-6 = 


54- 


5 = 


40 + .? = 50 


53-8 = 


54- 


7 = 


30 + ? = 45 


53 - 10 = 


54- 


9 = 


20 + .? = 50 


53 - 12 = 


54- 


12 = 


10 + .? = 50 



[112] 



NUMBERS THROUGH 54 



Add; 



4 


6 


8 


9 


7 


5 


6 


8 


2 


9 


6 


5 


4 


3 


6 


5 


1 


4 


2 


3 


5 


5 


7 


8 


9 


2 


2 


8 


5 


3 


2 


1 


6 


8 


4 


9 


8 


6 


9 


3 


4 


2 


1 


8 


4 


2 


5 


7 


2 


8 


4 


6 


2 


9 


6 


3 


5 


9 


7 


6 


5 


7 


2 


5 


9 


7 


6 


5 


4 


9 


4 


9 


7 


6 


5 


2 


8 


6 


3 


7 


6 


6 


3 


9 


5 


3 


3 


5 


6 


5 


9 


7 


3 


5 


4 


6 


8 


8 


8 


5 


8 


5 


4 


2 


4 


8 


2 


2 


4 


4 


4 


2 


6 


4 


3 


6 


.8 


3 


5 



Make number stories about : 

50 feet - 25 feet 20 square feet + 30 square feet 
50 cents - 20 cents 6 weeks + 2 days 

[113] 



NUMBERS THROUGH 56 




Kate. I learned something new at school today. 

Frank. What was it ? 

Kate. I learned how to subtract big numbers. 

Frank. Is it very hard? 

Kate. No. Let me show you how. I am going to 
subtract 25 from 49. See how I write them? 

49 
25 
24 

5 from 9 leaves 4. 2 tens from 4 tens leaves 2 
tens. The answer is . 

Frank. I do not think that is any harder than add- 
ing. Give me some numbers to subtract. 

[114] 



NUMBERS THROUGH 56 
Subtract: 

49 47 48 46 45 49 

37 21 37 21 35 28 



44 


39 


38 


34 


36 


37 


24 


15 


16 


12 


21 


27 


29 


37 


42 


45 


55 


48 


17 


22 


12 


24 


30 


24 


56 


56 


56 


56 


56 


56 


24 


35 


44 


23 


42 


32 



9+ 8+5- 4= 6 + 3 + 8-2 

6+7-3+2= 7 + 9 + 9-6 

8+ 8-4+10= 8 + 4+3 + 6 

6+9 + 9-8= 12-5+7 + 4 

8+ 9+7- 6= 9 + 4-6-2 

7+ 6-5+ 9= 15-6 + 8+9 

7+ 9-4+ 8= 17-9 + 7 + 6 

12+12-5+ 4= 19-8 + 5 + 7 

[115] 



NUMBERS THROUGH 58 




Here are some number stories about Uncle Will's farm: 

Uncle Will has a fine orchard. There are 20 
peach trees, 12 pear trees, and 26 apple trees. How 
many trees are in the orchard ? 

He has 55 sheep. 42 of them are white. How 
many black sheep has he ? 

Kate and Frank set 3 hens. One hen hatched 12 
chicks, one hatched 11, and one hatched 15. How 
many little chickens were hatched ? 

Uncle Will raised 48 bushels of corn on one acre 

of ground. He put it into 2 bins. If he put 22 

bushels into one bin, how much did he put into the 

other ? 

[116] 



NUMBERS THROUGH 58 

Frank and Kate counted the little pigs. There 
were 14 in one pen, 20 in another, and 15 in another. 
How many little pigs were there ? 

Uncle Will picked 48 bushels of apples. He sold 
32 bushels. How many bushels did he keep ? 

Uncle Will sent Kate's mother 3 turkeys. One 
weighed 12 pounds, one 14 pounds, and one 11 
pounds. How much did they all weigh.? 

Add 25 to each of these numbers: 

24 14 33 22 32 21 

Add r4 to each of these nunibers: 

42 33 34 24 23 35 

Add 22 to each of these numbers: 

36 34 35 31 25 32 

Subtract 20 from each of these numbers: 

58 56 52 54 49 47 

Subtract 24 from each of these numbers: 

58 48 38 57 47 55 

[117] 



NUMBERS THROUGH 60 



101 qt. 


+ 


m qt. 


= ? pt. 


15 qt. 


+ 


51 qt. 


= ? pt. 


20 qt. 


+ 


2iqt. 


= .? pt. 


25 qt. 


— 


31 qt. 


= } pt. 


30 qt. 


— 


41 qt. 


= ? pt. 


10 yd. 


+ 


3i yd. 


= ? ft. 


12 yd. 


+ 


2Jyd. 


= ?ft. 


15 yd. 


— 


Uyd. 


= ? ft. 


20 yd. 


— 


4iyd. 


= ? ft. 


5 gal. 


+ 


21 gal. 


= ?qt. 


10 gal. 


+ 


3i gal. 


= ?qt. 


12 gal. 


— 


U gal. 


= ?qt. 


5 nickels + 


2| nickels 


= ?c. 


10 nickels 


1 — 


12 cents 


= U. 


4 weeks 


+ 


8 days 


= ?da 


7 weeks 


— 


12 days 


= ?da 


4 gal. 


+ 


U gal. 


= ? pt. 


5 gal. 


— 


U gal. 


= ? pt. 


2| dimes 


+ 


2| dimes 


= ?c. 


6 dimes 


— 


3i dimes 


= ?c. 


3 ft. 


+ 


Ift. 


= ? in. 


2 ft. 


+ 


4 ft. 


= ? in. 




[118] 





NUMBERS THROUGH 60 



iof40 = 


1 of 40 = 


57- 


10- 


4 


4 of 50 = 


i of 36 = 


57- 


6- 


3 


i of 52 = 


1 of 32 = 


57- 


5- 


4 


iof48 = 


i of 44 = 


57- 


7- 


10 


iof44 = 


iof48 = 


57- 


7- 


7 


iof42 = 


1 of 56 = 


58- 


6- 


10 


i of 60 = 


1 of 52 = 


58- 


8- 


9 


4 of 38 = 


|of28 = 


58- 


8- 


10 


iof36 = 


4^ of 24 = 


58- 


9- 


9 


iof46 = 


|of60 = 


58- 


10- 


10 


i of 30 = 


1 of 15 = 


59- 


9- 


10 


iof36 = 


^of40 = 


59- 


10- 


10 


iof42 = 


4 of 30 = 


59- 


8- 


5 


iof48 = 


|of40 = 


59- 


5- 


8 


|of51 = 


i of 50 = 


59- 


6- 


6 


1 of 54 = 


1 of 55 = 


60- 


10- 


20 


|of60 = 


|of45 = 


60- 


10- 


6 


iof33 = 


iof35 = 


60- 


8- 


8 


iof45 = 


i of 25 = 


60- 


9- 


5 


1 of 39 = 


^ of 60 = 


60- 


20- 


20 


iof27 = 


1 of 20 = 


60- 


40- 


10 



[119] 



NUMBERS THROUGH 60 



Add: 










25 


24 


34 


26 


32 


34 


24 


22 


33 


17 


23 


21 


32 


22 


24 


23 


12 


14 


22 


25 


12 


25 


12 


12 


10 


13 


24 


13 


23 


21 


14 


22 


22 


22 


22 


22 


13 


13 


13 


23 


Subtract: 










59 


48 


48 


47 


56 


14 


24 


16 


25 


34 


58 


55 


57 


45 


46 


25 


25 


36 


25 


36 


47 


44 


49 


39 


38 


26 


32 


21 


17 


21 



[120] 



NUMBERS THROUGH 60 



25 qt. 


= 


.?pt. 


12 nickels = 


?c. 


26 qt. 


= 


.?pt. 


60 c. 


? nickels 


27 qt. 


= 


?pt. 


5 wk. = 


?da. 


28 qt. 


= 


?pt. 


6 wk. = 


.?da. 


29 qt. 


= 


.?pt. 


7wk. 


.?da. 


30 qt. 


= 


?pt. 


8wk. = 


.?da. 


60 pt. 


= 


?qt. 


60 da. 


.?wk. 


15 yd. 


= 


?ft. 


5 gal. = 


?pt. 


16 yd. 


= 


?ft. 


6 gal. 


?pt. 


17 yd. 


= 


?ft. 


7 gal. = 


?pt. 


18 yd. 


= 


?ft. 


60 pt. 


?gal. 


19 yd. 


= 


.?ft. 


5 sq. yd. = 


? sq. ft. 


20 yd. 


^ 


?ft. 


6 sq. yd. = 


? sq. ft. 


12 gal. 


= 


.?qt. 


60 sq. ft. = 


.? sq. yd. 


13 gal. 


= 


i qt. 


5 dimes = 


?c. 


14 gal. 


= 


?qt. 


6 dimes = 


?c. 


15 gal. 


= 


.?qt. 


60 c. 


? dimes. 


60 qt. 


= 


? gal. 


4 ft. 


?in. 


9 nickels 


= 


?c. 


3 ft. 


.?in. 


10 nickels 


= 


?c. 


5 ft. 


Pin. 


11 nickels 


s 


?c. 


60 in. 


?ft. 



[121] 



NUMBERS THROUGH 60 




Kate. O Frank, see my pretty little clock! It 
strikes every hour. 

Frank. Do you know how many minutes in an 
hour.? 

Kate. Of course! I knew that a year ago. There 
are 60 minutes in an hour. I can dress in \ 
hour. That is minutes. 

Frank. I played ball last evening for ^ of an hour. 
That was minutes. 

Kate. I practised my music lesson for | of an hour. 
That was minutes. 

Frank. It will take the minute hand of the clock 
20 minutes to go from the figure 12 to the 

figure 4. 

[122] 



NUMBERS THROUGH 60 

Kate. It will take it minutes to go from the 

figure 4 to the figure 8. 

Frank. It will take it 20 minutes to go from the 

figure 8 to the figure . ^ of an hour is 

minutes. 

Kate. There are 12 five-minute spaces on the face 
of the clock. minutes are yV of an hour. 

Frank. yV of an hour will be minutes, and Vr 

of an hour will be minutes. ^V of an hour 

is the same as of an hour. 

1 hr. = ? min. 30 min. = ? hr. 

\ hr. = .? min. 15 min. = ? hr. 

^ hr. = ? min. 45 min. = ? hr. 

I hr. = ? min. 10 min. = ? hr. 

I hr. = ? min. 5 min. = .? hr. 

tV hr. = ? min. 35 min. = ? hr. 

Write number stories about: 

^ hour + I hour i hour - 10 minutes 

I hour + 10 minutes 1 hour - 20 minutes 

1 hour - 4 hour | hour - ^ hour 

[123] 



NUMBERS THROUGH 60 




Frank and Kate made a clock out of stiff paper. 
They put on the hands with pins. Then they played 
"What time is it?" 

Where did Frank put the minute hand to show 
15 minutes after 9? 10 minutes after 9? Half past 
nine ? A quarter to ten ? 

Where did Kate put the hands to show that it 
was 3 o'clock? 5 minutes after 3? 20 minutes after 
3 ? 25 minutes to 4 ? 5 minutes to 4 ? 

Can you tell the time on each of these clocks ? 




[124] 



NUMBERS THROUGH 60 

Make a clock face and show the time for each of 
these number stories: 

Frank got up at 10 minutes after 7. He was 
ready for breakfast in 20 minutes. What time was it ? 

He finished breakfast at 8 o'clock and worked in 
his garden 25 minutes. What time was it ? 

He started for school at half past 8. It took him 
15 minutes to walk to school. What time did he 
reach there? 

School began at 9 o'clock. The children sang for 
20 minutes. What time was it then ? 

Then Frank studied his reading lesson for 15 
minutes. Show what time it was when he finished. 

The children went out for recess at half past 10. 
They played for 15 minutes. What time was it? 

At 11 o'clock Frank began writing some number 
stories. He worked for 15 minutes. Show what 
time it was. 

Show what time the children went home for lunch. 

They came back one hour later. What time was it ? 

[125] 



NUMBERS THROUGH 60 

i hr. + 10 min. = ? min. 

^ hr. + 15 min. = ? min. 

i hr. + 1 hr. = ? min. 

1 hr. + I hr. = .? min. 

I hr. + tV hr. = ? min. 

4 hr. — 4^ hr. = f min. 

I hr. - 10 min. = ? min. 
\ hr. — 20 min. = ? min. 

I hr. - tV hr. = ? min. 

1 hr. — I hr. = i min. 

2 quarters + 8 cents = ? cents. 
1 quarter + 4 nickels = ? cents. 

1 quarter + 3 dimes = ? cents. 

2 quarters + 1 nickel = f cents. 

3 dimes + f nickels = 50 cents. 
1 quarter + ? nickels = 50 cents. 

4 dimes + i cents = 60 cents. 
3 dimes + ? nickels = 60 cents. 

1 half-dollar + ? nickels = 60 cents. 

2 quarters + ? cents = 60 cents. 

1 quarter + ? nickels = 60 cents. 

2 quarters + ? nickels = 60 cents. 

[126] 



NUMBERS THROUGH 60 

The multiplication table of fives : 

5x1=5 5x 7=35 

5x2=10 5x 8=40 

5x3=15 5x 9=45 

5x4=20 5x10=50 

5x5=25 5x11=55 

5x6=30 5x12=60 

Write the multiplication tables of twos, threes, 
and fours. 



60- 


- 2 = 


50- 


- 2 = 


2x2x2 


60- 


r 3 = 


50- 


■- 5 = 


2x3x3 


60- 


- 4 = 


50- 


- 10 = 


3x3x3 


60- 


- 5 = 


49- 


- 7 = 


3x4x3 


60- 


- 6 = 


48 H 


- 6 = 


3x3x5 


60- 


- 10 = 


48- 


i- 8 = 


2x4x4 


60- 


- 12 = 


48- 


■- 4 = 


4x2x5 


56- 


r 8 = 


48- 


- 12 = 


2x5x5 


56- 


1- 7 = 


45- 


- 5 = 


5x2x6 


54- 


- 6 = 


45. 


- 9 = 


6x2x5 


54 


■^ 9 = 


44- 


- 11 = 


3x4x2 


50- 


-10 = 


40- 


- 4 = 
[127] 


3x5x2 



NUMBERS THROUGH 60 

4 tens and 2 units are 

3 tens and units are 35 

5 tens and 5 units are 

4 tens and 8 units are 

5 tens and 4 units are 

6 tens are . 

Count by 3's from 2 to 59. 
Count by 4's from 3 to 59. 
Count by 5's from 4 to 59. 

Count backward by 2's from 59. 
Count backward by 3's from 59. 
Count backward by 4's from 59. 
Count backward by 5's from 59. 
Count backward by 6's from 59. 
Count backward by lO's from 59. 

60 = 2 X ? 60 = 15 X ? 

60 = 30 X ? 60 = 5 X ? 

60 = 3 X ? 60 = 12 X ? 

60 = 20 X ? 60 = 6 X ? 

60 = 4 X ? 60 = 10 X ? 

[128] 



NUMBERS THROUGH 70 



Add: 














2 


1 


3 


5 


6 


7 


4 


b 


2 


8 


4 


3 


4 


9 


5 


8 


7 


5 


4 


6 


5 


8 


5 


9 


8 


1 


1 


8 


4 


4 


9 


9 


6 


3 


2 



Write the answers of these examples. 
How many units are there in each answer? 
How many tens are there in each answer? 



Add: 












35 


25 


15 


45 


35 


15 


35 


25 


45 


25 


15 


25 


22 


43 


52 


24 


23 


37 


28 


17 


28 


46 


27 


33 


42 


26 


33 


48 


28 


36 


29 


35 


38 


13 


44 


26 


15 


16 


17 


18 


19 


15 


15 


16 


17 


18 


19 


25 


15 


16 


17 


18 


19 


25 



[129] 



NUMBERS THROUGH 84 

The multiplication table of sevens : 

7x1=7 7x7 = 49 

7x2= 14 7x8 = 56 

7x3 = 21 7x9 = 63 

7 X 4 = 28 7 X 10 = 70 

7 X 5 = 35 7 X 11 = 77 

7x6 = 42 7x12 = 84 

Write the multiplication tables of fours, fives, 
and sixes. 



14^7 = 


5x i 


' = 35 


6x i 


' = 54 


77 H- 7 = 


7x i 


' = 35 


5x i 


' = 55 


28^7 = 


6x i 


' = 36 


7x i 


' = 56 


42^ 7 = 


5x i 


' = 40 


5x i 


' = 60 


63-4-7 = 


7x i 


' = 42 


6x i 


' = 60 


84 H- 7 = 


6x i 


' = 42 


7x i 


' = 63 


70-1-7 = 


4 x i 


'-44 


6x : 


' = 66 


56-^7 = 


5 X ; 


' = 45 


7x : 


' = 70 


49 H- 7 = 


6x i 


' = 48 


6x : 


> = 72 


35^-7 = 


4 X i 


' = 48 


7x : 


' = 77 


21 -5- 7 = . 


5 X i 

C 


' = 50 
132] 


7x . 


' = 84 



NUMBERS THROUGH 96 
The multiplication table of eights : 

8x1=8 8x7 = 56 

8x2 = 16 8x8 = 64 

8x3 = 24 8x9 = 72 

8 X 4 = 32 8 X 10 = 80 

8 X 5 = 40 8 X 11 = 88 

8 X 6 = 48 8 X 12 = 96 

Write the multiplication tables of fives, sixes, and 
sevens. 



16-5-8 = 


|of24 = 


76-8 


32^8 = 


i of 64 = 


96-8 


48 ^ 8 = 


i of 72 = 


86-8 


96^-8 = 


i of 80 = 


66-8 


88^8 = 


i of 96 = 


56-7 


24^-8 = 


i of 88 = 


96-7 


40-5-8 = 


i of 56 = 


66- 10 


56^-8 = 


4 of 16 = 


96- 10 


72 H- 8 = 


i of 32 = 


56-6 


64-^8 = 


i of 40 = 


96-6 


80 4-8 = 


i of 48 = 
[133] 


96- 12 



NUMBERS THROUGH 100 

Count by 4's to 100. 
Count by 5's to 100. 
Count by lO's to 100. 

Count by 3's from 1 to 100. 
Count by 6's from 4 to 100. 
Count by 7's from 2 to 100. 

Count backward by lO's from 100. 
Count backward by 2's from 99. 
Count backward by 3's from 99. 

Add: 

47 54 62 45 36 28 
23 48 29 26 47 34 



33 


24 


37 


48 


24 


32 


34 


35 


21 


22 


24 


32 


33 


41 


22 


16 


26 


36 


25 


32 


33 


15 


15 


22 


25 


24 


12 


25 


26 


22 


25 


22 


24 


15 


36 


22 


25 


12 


22 


25 


16 


22 



[134] 



NUMBERS THROUGH 108 
The multiplication table of nines: 



9x1=9 


9x 7= 63 


9 X 2 = 18 


9x 8= 72 


9 X 3 = 27 


9x 9= 81 


9 X 4 = 36 


9 X 10 = 90 


9 X 5 = 45 


9 X 11 = 99 


9 X 6 = 54 


9 X 12 = 108 



Write the multiplication tables of sixes, sevens, 
and eights. 

18 H- 9 = 6 X ? = 54 92 + ? = 100 

72 ^ 9 = 7 X ? = 56 88 + ? = 100 

27 H- 9 = 6 X ? = 60 91 + ? = 100 

81 ^ 9 = 5 X ? = 60 98 + ? = 100 

36 H- 9 = 7 X ? = 63 87 + ? = 100 

90 ^ 9 = 9 X ? = 63 93 + ? = 100 

108 -4- 9 = 8 X ? = 64 75 + ? = 100 

99 ^ 9 = 6 X ? = 66 90 + ? = 100 

63 -^ 9 = 7 X ? = 70 94 + ? = 100 

54 -^ 9 = 8 X ? = 72 96 + ? = 100 

45 -^ 9 = 10 X ? = 80 95 + ? = 100 

[135] 



NUMBERS THROUGH 144 



Tables of tens, elevens, ; 


md tw 


'elves 


: 






10 X 1 = 10 


11 X 


1 = 


11 


12x 1 = 


12 


10 X 2= 20 


11 X 


2 = 


22 


12x 2 = 


24 


10 X 3= 30 


11 X 


3 = 


33 


12x 3 = 


36 


10 X 4= 40 


11 X 


4 = 


44 


12 X -4 = 


48 


10 X 5 = 50 


11 X 


5 = 


55 


12x 5 = 


60 


10 X 6 = 60 


11 X 


6 = 


66 


12x 6 = 


72 


10 X 7= 70 


11 X 


7 = 


77 


12x 7 = 


84 


10 X 8 = 80 


11 X 


8 = 


88 


12x 8 = 


96 


10 X 9 = 90 


11 X 


9 = 


99 


12x 9 = 


108 


10 X 10 = 100 


11 X 


10= ] 


110 


12 X 10 = 


120 


lOx 11 = 110 


11 X 


11 = ] 


121 


12x11 = 


132 


10 X 12 = 120 


11 X 


12= ] 


132 


12 X 12 = 


144 


120 H- 10 = 


121 - 


- ?= ] 




60- 


H 12 = 




90 -i- 10 = 


55- 


- ?= ] 




96- 


■r- 12 = 




50 ^ 10 = 


99- 


- ? = ! 




36- 


- 12 = 




100 ^ 10 = 


77- 


- r ^ ] 




72- 


- 12 = 




60 ^ 10 = 


88- 


- ? = : 




84- 


- 12 = 




80 ^ 10 = 


66- 


_ r s= ' 




108- 


- 12 = 




110 ^ 10 = 


44- 


- ? = ' 




48- 


- 12 = 




40 ^ 10 = 


110- 


- ? = ] 




132- 


- 12 = 




70 ^ 10 = 


132- 

C 


136] 




144- 


- 12 = 





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